a) Develop a program that creates a plot of the derivative of f a finite difference approximation using n computational nodes. The program should also graph the exact derivative given by f'= f'(x) above. f(x) based on %3D

Q: Find the derivative of f(x) = x²(x² + V¤)

A:

Q: Find the derivative

A: Given function is  By using the properties of log  log(m)-log(n)=log(m/n) and log (m^n)=nlog(m), we…

Q: Find the derivatives of the functions in Exercis y = (1 + 2x)e-2x

A:

Q: Find the derivative of the function: f(x) = ln X x+1* Is there a shortest way? Please explain.

A: We can find the answer in the following steps.

Q: Sketch the graph of y=(x^2 +x +3)/x^2, locate all maximum and minimum values, intervals of increase…

A: we need to graph the given function and also need to find out the critical points, etc

Q: what is an example of a composite "function-in-a-function" and find its derivative using the chain…

A: We have to give an example of composite function, and find the derivative using the chain rule

Q: Compute the derivative of y= [(x+1)/x^3-1)]^1/2

A: The given function is y=x+1x3-112. Obtain the derivative as follows.

Q: how to get derivative of 2(x+(16/x))

A: The objective of the question is to find the derivative of the function 2(x+(16/x)). The derivative…

Q: Find the derivative of f(x) = 6* – 3* + In x -

A: Differentiate: fx=6x-3x+lnx

Q: exp(x²) Vx²+1)( ¥2x* +3 18. f(x)= Vx*+1

A:

Q: Determine the derivative of the given function by using two different methods

A: Given,         y=x2-3x2+34

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: