Let $f ( x ) = \int _ { x ^ { 2 } } ^ { 3 } \sqrt [ 3 ] { 4 - t ^ { 3 } } d t . \text { Find } f ^ { \prime } ( x )$

Let $f ( x ) = \int _ { x ^ { 2 } } ^ { 3 } \sqrt [ 3 ] { 4 - t ^ { 3 } } d t . \text { Find } f ^ { \prime } ( x )$

A) 0
B) $- 2 x \sqrt [ 3 ] { 4 - x ^ { 6 } }$
C) $2 x \sqrt [ 3 ] { 4 - x ^ { 6 } }$
D) $\sqrt [ 3 ] { 4 - x ^ { 3 } }$
E) $- \sqrt [ 3 ] { 4 - x ^ { 6 } }$
F)
$- 2 x \sqrt [ 3 ] { 4 - x ^ { 3 } }$
G) $\sqrt [ 3 ] { 4 - x ^ { 6 } }$
H) $- \sqrt [ 3 ] { 4 - x ^ { 3 } }$

Correct Answer:

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