Let $f ( x ) = \int _ { 0 } ^ { x ^ { 2 } } \sqrt [ 3 ] { 4 - t ^ { 3 } } d t . \text { Find } f ^ { \prime } ( x )$

Let $f ( x ) = \int _ { 0 } ^ { x ^ { 2 } } \sqrt [ 3 ] { 4 - t ^ { 3 } } d t . \text { Find } f ^ { \prime } ( x )$

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

Correct Answer:

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