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

question 38

Multiple Choice

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) \(2 x \sqrt [ 3 ] { 4 - t ^ { 6 } }\)

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