Using the derivative of f(x) given below, determine the critical points of f(x).
-$f ^ { \prime } ( x ) = ( x - 1 ) ^ { 2 } ( x + 4 )$
A) -1, 0, 4
B) -1, 4
C) -4, -1, 1
D) -4, 1

Question

Quizplus · Accepted Answer

Critical points occur where the derivative is zero or undefined. Setting $f'(x) = 0$, we solve $(x - 1)^2(x + 4) = 0$, which gives $x = 1$ and $x = -4$. The derivative is defined for all x, so these are the critical points.

Using the Derivative of F(x) Given Below, Determine the Critical f′(x)=(x−1)2(x+4)f ^ { \prime } ( x ) = ( x - 1 ) ^ { 2 } ( x + 4 )f′(x)=(x−1)2(x+4)

Using the Derivative of F(x) Given Below, Determine the Critical $f ^ { \prime } ( x ) = ( x - 1 ) ^ { 2 } ( x + 4 )$