This is a matlab question.

Write a function, called Plot_Derivative( x, y ), which plots the derivative of the polynomial interpolated by(xi,yi), i=1:n . Assume that x is a linearly spaced, monotonically increasing vector, and that the plot should be limited to[x1,xn] . Use polyfit and polyval.

Using your function, plot the derivative of the Problem 2 equation, and verify that against Problem 3.

Problem 2 This problem is worth 1 points

Calculate the roots of the polynomial

What are the roots of the derivative of this polynomial, i.e. when y(x)=0? Are they all real numbers or not?

Problem 3 This problem is worth 2 points

Using Problem 2 equation, calculate the derivative using the polyder function. Plot both the function and it's derivative over the interval of[-2,3] . Ensure you use enough points that the plots come out smoothly.