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April 20, 2014

Homework Help: calculus

Posted by Anonymous on Wednesday, January 5, 2011 at 5:00pm.

state increasing, decreasing, max, min
for f(x)= x^(1/3) (x+4)

Here is my work:
f'(x)= 4/3x^(1/3) + 4/3x^(-2/3)
4/3x^(1/3) + 4/3x^(-2/3)=0
x=0 x= -1

Increasing: [0, ∞)
Decreasing: (-∞, 0]
min @ x=0
max: none

Is this correct?

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