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Evaluating Stationary Points

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?

Any help or guidance would be most appreciated. Due to several reasons I have missed most of the lessons and desperately need some help to catch up. Help on HOW to solve and any tips would be great.

Solution Preview

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 ...

Solution Summary

The expert evaluates stationary points. What the graphs look like are determined.

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