009A Sample Final 3, Problem 9

Let

$g(x)=(2x^{2}-8x)^{\frac {2}{3}}$

a) Find all critical points of $g$ over the $x$-interval $[0,8].$

b) Find absolute maximum and absolute minimum of $g$ over $[0,8].$

Foundations:

Solution:

(a)

Step 1:

Step 2:

(b)

Step 1:

Step 2:

(c)

Step 1:

Step 2:

Final Answer:
(a)
(b)
(c)

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