Please could some one check this and help where required:

The Function:

a) Find its stationary points

So,

The equation is equivilent to: that is

So the Stationary points are and

b) Classify the LH Stationary point with 1st Derivative Test

To classify we take X = -5 and choose the test point XL = -6 then we have:

c) Classify the RH Stationary point with 2nd Derivative Test

So,

The stationary point XR = 1, so the test point will be XR = 2

So f has a local minimum at X = 1

d) Find the coordinates of each stationary point

so,

Hence the graph passes through the point (-5,76) & (1,-32)

Thanks for your help

A