First Derivative Test

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First Derivative Test : 

First Derivative Test

Locate all of the local maxima and minima for the function f(x)=x3+3x2-24x : 

Locate all of the local maxima and minima for the function f(x)=x3+3x2-24x X=-4 is a local max X=2 is a local min

Locate all of the local maxima and minima for the function f(x)=x4-2x2 . What is the absolute maximum and minimum on x=[-2,1) : 

Locate all of the local maxima and minima for the function f(x)=x4-2x2 . What is the absolute maximum and minimum on x=[-2,1) Local min @ x=-1 and x=1 Local max@ x=0