Differentiate $f ( x ) = \left( \frac { 2 x ^ { 3 } + 1 } { \sqrt [ 3 ] { x } } \right) ^ { 3 }$ in three ways: (a) with the chain rule, (b) with the quotient rule but not chain rule, (c) without the chain or quotient rules.

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The Answer of Differentiate $f ( x ) = \left( \frac { 2 x ^ { 3 } + 1 } { \sqrt [ 3 ] { x } } \right) ^ { 3 }$ in three ways: (a) with the chain rule, (b) with the quotient rule but not chain rule, (c) without the chain or quotient rules.

Differentiate f(x)=(2x3+1x3)3f ( x ) = \left( \frac { 2 x ^ { 3 } + 1 } { \sqrt [ 3 ] { x } } \right) ^ { 3 }f(x)=(3x​2x3+1​)3

Differentiate $f ( x ) = \left( \frac { 2 x ^ { 3 } + 1 } { \sqrt [ 3 ] { x } } \right) ^ { 3 }$