Derivative of a curve python
In this article, we will plot the derivative of a function using matplotlib and python. For this we are using some modules in python which are as follows:
To plot the derivative of a function first, we have to calculate it. The scipy.misc library has a derivative() function which accepts one argument as a function and the other is the variable w.r.t which we will differentiate the function. So we will make a method named function() that will return the original function and a second method named deriv() that will return the derivative of that function. After this calculation of the derivative of the input function, we will use the NumPy linspace() function which sets the range of the x-axis. The plot() function will be used to plot the function and also the derivative of that function. Approach:
Example 1: (Derivative of cubic) In this example, we will give the function f(x)=2x3+x+3 as input, then calculate the derivative and plot both the function and its derivative. Python3
Output: Example 2: (Derivative of Poly degree polynomial) In this example, we will give the function f(x)=x4+x2+5 as input, then calculate the derivative and plot both the function and its derivative. Python3
Output: Example 3: (Derivative of quadratic with formatting by text) In this example, we will plot the derivative of f(x)=4x2+x+1. Also, we will use some formatting using the gca() function that will change the limits of the axis so that both x, y axes intersect at the origin. The text() function which comes under matplotlib library plots the text on the graph and takes an argument as (x, y) coordinates. We will also do some formatting. Python3
Output: How do you find the derivative in Python?Calculate Derivative Functions in Python. Import SymPy. In order to do symbolic differentiation, we'll need a library called SymPy. ... . Make a symbol. Variables are not defined automatically in SymPy. ... . Write symbolic expression. ... . Take the derivative. ... . Substituting values into expressions. ... . The lambdify function.. Can Python take derivatives?Solving Derivatives in Python
SymPy has lambdify function to calculate the derivative of the function that accepts symbol and the function as argument. Let's look at example of calculating derivative using SymPy lambdify function.
Can NumPy do derivatives?Generally, NumPy does not provide any robust function to compute the derivatives of different polynomials. However, NumPy can compute the special cases of one-dimensional polynomials using the functions numpy. poly1d() and deriv().
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