{"id":14180,"date":"2022-07-13T13:07:41","date_gmt":"2022-07-13T07:37:41","guid":{"rendered":"https:\/\/copyassignment.com\/?p=14180"},"modified":"2022-12-05T18:00:07","modified_gmt":"2022-12-05T12:30:07","slug":"python-derivative-calculator","status":"publish","type":"post","link":"https:\/\/copyassignment.com\/python-derivative-calculator\/","title":{"rendered":"Python Derivative Calculator"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">Introduction<\/h2>\n\n\n\n<p>Today, in this article, we will develop a <strong><strong>Python Derivative Calculator<\/strong><\/strong>, one of the most significant requirements of mathematics and statistics students all the time. Derivatives are also used for solving machine learning optimization problems. In order to move closer and closer to the maximum or minimum of a function, optimization methods such as gradient descent employ derivatives to determine whether to raise or reduce the weights.<\/p>\n\n\n\n<script async=\"\" src=\"https:\/\/pagead2.googlesyndication.com\/pagead\/js\/adsbygoogle.js\"><\/script>\n<ins class=\"adsbygoogle\" style=\"display:block; text-align:center;\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\" data-ad-client=\"ca-pub-9886351916045880\" data-ad-slot=\"2002566052\"><\/ins>\n<script>\n     (adsbygoogle = window.adsbygoogle || []).push({});\n<\/script>\n\n\n\n<p>The Derivative Calculator is an online tool for calculating the derivatives of functions.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">What is Derivative?<\/h2>\n\n\n\n<p>A derivative is a function that quantifies slope. It is obtained by differentiating a function of the type <strong>y = f(x)<\/strong>. When x is replaced with the derivative, the slope of the initial function <strong>y = f(x)<\/strong> is obtained.<\/p>\n\n\n\n<p>There are several methods to describe the act of differentiation, often known as locating or calculating the derivative. The choice of notation is influenced by the kind of evaluated function and individual taste.<\/p>\n\n\n\n<p>Suppose you have a generic function: <strong>y = f (x)<\/strong>. The following notations may all be interpreted as &#8220;<strong>the derivative of y with respect to x<\/strong>&#8221; or, less technically, &#8220;<strong>the derivative of the function<\/strong>&#8220;<\/p>\n\n\n\n<p>Now, Let&#8217;s take an example to understand this in detail :<\/p>\n\n\n\n<p>Suppose we have the function: <strong>y= 5*x^3 +2*x^2+3*x+4<\/strong><\/p>\n\n\n\n<p>After applying all the rules of differentiation, we got the following result:<\/p>\n\n\n\n<p><strong>dy\/dx=15*x^2+4*x+3<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Logic Behind Derivative Calculator<\/h2>\n\n\n\n<p>Firstly, determine which portion of the original function (<strong>y =  5*x^3 +2*x^2+3*x+4<\/strong>) is of interest. For instance, imagine you need to determine the <strong>slope of y<\/strong> when the value of the variable <strong>x is 3<\/strong>. Substitute <strong>x = 3 <\/strong>into the slope function and solve:<\/p>\n\n\n\n<p><strong>dy\/dx=15(3)^2+4*3+3=150<\/strong><\/p>\n\n\n\n<p>therefore, we found that when <strong>x=3<\/strong>, the function <strong>y<\/strong> has a slope of <strong>+150<\/strong>.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Code for Python Derivative Calculator<\/h2>\n\n\n\n<p>Now, how do we develop a derivative calculator? it&#8217;s a multi-step process. Let&#8217;s try to understand how we develop a derivative calculator in python.<\/p>\n\n\n\n<p>Symbolic differentiation manipulates a given equation according to a variety of principles to create the equation&#8217;s derivative. Python can do symbolic differentiation if you know the equation whose derivative you want to calculate and for developing a Derivative Calculator we are using a <strong><a href=\"https:\/\/pypi.org\/project\/sumpy\/\" target=\"_blank\" rel=\"noreferrer noopener\">SymPy<\/a><\/strong>(symbolic computation) python library.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step1:<\/strong><\/h3>\n\n\n\n<script async=\"\" src=\"https:\/\/pagead2.googlesyndication.com\/pagead\/js\/adsbygoogle.js\"><\/script>\n<ins class=\"adsbygoogle\" style=\"display:block; text-align:center;\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\" data-ad-client=\"ca-pub-9886351916045880\" data-ad-slot=\"2002566052\"><\/ins>\n<script>\n     (adsbygoogle = window.adsbygoogle || []).push({});\n<\/script>\n\n\n\n<p><strong>import the SymPy Library<\/strong><\/p>\n\n\n\n<p>For symbolic differentiation, we will need the <strong>SymPy package<\/strong>. y for symbolic mathematics in python there is a library called SymPy python library. It intends to be a comprehensive computer algebra system (CAS) that can be used as either a standalone application or a library for other applications. if SymPy is not installed in your python, kindly use the term:<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">pip install sympy<\/pre>\n\n\n\n<p>Other Python distributions, such as Anaconda, Enthought Canopy, etc., may already have SymPy. To validate, enter the following at the Python prompt:<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">from sympy import *<\/pre>\n\n\n\n<p>or<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">import sympy<\/pre>\n\n\n\n<p><strong>Syntax:<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">from sympy import *<\/pre>\n\n\n\n<p>python SymPy library is really helpful in developing a standard derivative calculator or in performing other mathematical functions.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 2:<\/strong><\/h3>\n\n\n\n<p><strong>Make a Symbol:<\/strong><\/p>\n\n\n\n<p>In SymPy python, library variables are not automatically defined. you need to define them on your own or explicitly by using symbols. symbols produce Symbols from a string of variable names separated by space or commas. Symbol is essentially the same as a variable in SymPy on developing a derivative calculator we are using a list for defining the multiple symbols. <\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>symbol = int(input(\"Enter Number of Symbols in the equation\"))\nprint(symbol)\nsymbol_list=&#91;]\nfor i in range(0, symbol):\n    print(\"Enter\",i+1,\" symbol name\" )\n    item = (input())\n    symbol_list.append(symbols(item))\nprint(\"symbol list is \", symbol_list)<\/code><\/pre>\n\n\n\n<p>if the equation has only one variable, you can define it as:<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">x=symbols('x')<\/pre>\n\n\n\n<p>if the equation has multiple variables, you can define them as:<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">x,y=symbols('x y')<\/pre>\n\n\n\n<p>these symbols can be used to create symbolic expressions in python are:<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">x**2+y+2*x\nx^2+y+2*x<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 3:<\/strong><\/h3>\n\n\n\n<p><strong>Create symbolic representation<\/strong><\/p>\n\n\n\n<p>So, by using Symbol&nbsp;<em>x<\/em>&nbsp;that we just defined, let\u2019s create a symbolic expression(function) in Python for example function&nbsp;<strong><em>f(x) = 4x<sup>2<\/sup>+5<\/em>x+8<\/strong>:<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">function=4*x**2+5*x+8<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 4:<\/strong><\/h3>\n\n\n\n<p><strong>Calculate the derivative<\/strong><\/p>\n\n\n\n<p>Now, we&#8217;ll calculate the function&#8217;s derivative. Use the diff function to calculate derivates. The first argument of the diff function is the function whose derivative is desired. The second parameter should be the variable with regard to which the derivative is being computed.<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>der=Derivative(function,symbol_list)\n  print(der)\n  #you can take n derivative by taking the additional\/ optional third argument \n  diff(function, symbol_list&#91;0],n)\n  variable=input(\"calculate the derivative on the basis of which variable?\")\n  df=diff(function,variable)\n  print(df)<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 5:<\/strong><\/h3>\n\n\n\n<p><strong>Calculating values within the expression<\/strong><\/p>\n\n\n\n<p>So we can create symbolic functions and calculate their derivatives, but how do we apply them? We must be able to enter a value and get a solution from these equations. With the subs approach, we may replace values with symbolic equations. The subs method substitutes a provided value for each occurrence of a variable. subs return a new expression; it has no effect on the original expression. Here, we substitute 3 for x in the df formula and initialize it in d: <\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>print(\"Now to substitute the values into symbolic equations, kindly enter the value\")\n  substitute=int(input())\n  d=df.subs(variable, substitute)\n  print(d)<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">Complete c<strong>ode for Python Derivative Calculator<\/strong><\/h2>\n\n\n\n<script async=\"\" src=\"https:\/\/pagead2.googlesyndication.com\/pagead\/js\/adsbygoogle.js\"><\/script>\n<ins class=\"adsbygoogle\" style=\"display:block; text-align:center;\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\" data-ad-client=\"ca-pub-9886351916045880\" data-ad-slot=\"2002566052\"><\/ins>\n<script>\n     (adsbygoogle = window.adsbygoogle || []).push({});\n<\/script>\n\n\n\n<div style=\"height: 250px; position:relative; margin-bottom: 50px;\" class=\"wp-block-simple-code-block-ace\"><div style=\"position:absolute;top:-20px;right:0px;cursor:pointer\" class=\"copy-simple-code-block\"><span class=\"dashicon dashicons dashicons-admin-page\"><\/span><\/div><pre class=\"wp-block-simple-code-block-ace\" style=\"position:absolute;top:0;right:0;bottom:0;left:0\" data-mode=\"python\" data-theme=\"xcode\" data-fontsize=\"14\" data-lines=\"Infinity\" data-showlines=\"true\" data-copy=\"true\">from sympy import *\nsymbol = int(input(\"Enter Number of Symbols in the equation\"))\nprint(symbol)\nsymbol_list=[]\nfor i in range(0, symbol):\n    print(\"Enter\",i+1,\" symbol name\" )\n    item = (input())\n    symbol_list.append(symbols(item))\nprint(\"symbol list is \", symbol_list)\ndef deriv(symbol_list):\n  function=input(\"enter function\")\n  function\n  der=Derivative(function,symbol_list)\n  print(der)\n  #you can take n derivative by taking the additional\/ optional third argument \n  diff(function, symbol_list[0],n)\n  variable=input(\"calculate the derivative on the basis of which variable?\")\n  df=diff(function,variable)\n  print(df)\n  #substitute values into expressions\n  print(\"Now to substitute the values into symbolic equations, kindly enter the value\")\n  substitute=int(input())\n  d=df.subs(variable, substitute)\n  print(d)\n\nderiv(symbol_list)<\/pre><\/div>\n\n\n\n<p><strong>Output:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"503\" height=\"126\" data-src=\"https:\/\/copyassignment.com\/wp-content\/uploads\/2022\/07\/image-67.png\" alt=\"Output for Python Derivative Calculator\" class=\"wp-image-14285 lazyload\" data-srcset=\"https:\/\/copyassignment.com\/wp-content\/uploads\/2022\/07\/image-67.png 503w, https:\/\/copyassignment.com\/wp-content\/uploads\/2022\/07\/image-67-300x75.png 300w\" data-sizes=\"(max-width: 503px) 100vw, 503px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 503px; --smush-placeholder-aspect-ratio: 503\/126;\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" data-src=\"https:\/\/copyassignment.com\/wp-content\/uploads\/2022\/07\/image-66.png\" alt=\"Output for Python Derivative Calculator\" class=\"wp-image-14284 lazyload\" width=\"628\" height=\"129\" data-srcset=\"https:\/\/copyassignment.com\/wp-content\/uploads\/2022\/07\/image-66.png 628w, https:\/\/copyassignment.com\/wp-content\/uploads\/2022\/07\/image-66-300x62.png 300w\" data-sizes=\"(max-width: 628px) 100vw, 628px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 628px; --smush-placeholder-aspect-ratio: 628\/129;\" \/><figcaption class=\"wp-element-caption\">Output for Python Derivative Calculator<\/figcaption><\/figure>\n\n\n\n<script async src=\"https:\/\/pagead2.googlesyndication.com\/pagead\/js\/adsbygoogle.js?client=ca-pub-9886351916045880\"\n     crossorigin=\"anonymous\"><\/script>\n<ins class=\"adsbygoogle\"\n     style=\"display:block\"\n     data-ad-format=\"autorelaxed\"\n     data-ad-client=\"ca-pub-9886351916045880\"\n     data-ad-slot=\"7933252109\"><\/ins>\n<script>\n     (adsbygoogle = window.adsbygoogle || []).push({});\n<\/script>\n\n\n\n<h2 class=\"wp-block-heading\">Conclusion<\/h2>\n\n\n\n<p>In this article, we see what is derivative and how can we create a Python Derivative Calculator. To create the derivative calculator using Python, we have used Python&#8217;s SymPy library in which Sym stands for the symbol. This was not tough but was not easy as well and we encourage you to research this topic and try more on this.<\/p>\n\n\n\n<p>We hope you find this tutorial helpful.<\/p>\n\n\n\n<p>Thank you for visiting <a href=\"https:\/\/copyassignment.com\/\">our website<\/a>.<\/p>\n\n\n\n<div style=\"text-align:center\" class=\"wp-block-atomic-blocks-ab-button ab-block-button\"><a href=\"https:\/\/pythonhub.stores.instamojo.com\/product\/271643\/python-complete-notes\/\" class=\"ab-button ab-button-shape-rounded ab-button-size-medium\" style=\"color:#ffffff;background-color:#3373dc\">Buy Python Handwritten Notes<\/a><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Also Read:<\/strong><\/p>\n\n\n<ul class=\"wp-block-latest-posts__list is-grid columns-3 wp-block-latest-posts\"><li><a class=\"wp-block-latest-posts__post-title\" 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Here\u2019s the Real Working Tool That Others Won\u2019t Tell You About!<\/a><\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"<p>Introduction Today, in this article, we will develop a Python Derivative Calculator, one of the most significant requirements of mathematics and statistics students all the&#8230;<\/p>\n","protected":false},"author":62,"featured_media":14338,"comment_status":"open","ping_status":"open","sticky":true,"template":"","format":"standard","meta":{"footnotes":""},"categories":[22,1137],"tags":[1897],"class_list":["post-14180","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-allcategorites","category-machine-learning","tag-sympy-library","wpcat-22-id","wpcat-1137-id"],"_links":{"self":[{"href":"https:\/\/copyassignment.com\/wp-json\/wp\/v2\/posts\/14180","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/copyassignment.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/copyassignment.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/copyassignment.com\/wp-json\/wp\/v2\/users\/62"}],"replies":[{"embeddable":true,"href":"https:\/\/copyassignment.com\/wp-json\/wp\/v2\/comments?post=14180"}],"version-history":[{"count":0,"href":"https:\/\/copyassignment.com\/wp-json\/wp\/v2\/posts\/14180\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/copyassignment.com\/wp-json\/wp\/v2\/media\/14338"}],"wp:attachment":[{"href":"https:\/\/copyassignment.com\/wp-json\/wp\/v2\/media?parent=14180"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/copyassignment.com\/wp-json\/wp\/v2\/categories?post=14180"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/copyassignment.com\/wp-json\/wp\/v2\/tags?post=14180"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}