If Y = $\sqrt [ 3 ] { x }$

question 1

Multiple Choice

If y = ( $\sqrt [ 3 ] { x }$ + 1 $5 ^ { 5 }$ , find $\frac { d y } { d x }$ .

• A) \(\frac { 1 } { 3 }\) ( \(\sqrt [ 3 ] { x }\) + 1 \() ^ { 4 }\) \(x ^ { - 2 / 3 }\)
• B) \(\frac { 5 } { 3 }\) ( \(\sqrt [ 3 ] { x }\) + 1 \() ^ { 4 }\) \(x ^ { - 2 / 3 }\)
• C) 5( \(\sqrt [ 3 ] { x }\) + 1 \() ^ { 4 }\) \(\sqrt [ 3 ] { x }\)
• D) 5( \(\sqrt [ 3 ] { x }\) + 1 \() ^ { 4 }\)
• E) none of these

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