Discuss the below:
Using the function f(x)=2x^3+3x^2-36x+7
a) Find the stationary points of this function.
b) i) Applying First Derivative Test, classify left hand stationary point in part a.
ii) Applying First Derivative Test, classify right hand stationary point in part a.
c) Find the y coordinates of each stationary point on the graph of the function f(x) and evaluate f(0).
d) What would the graph look like roughly?