Differentiate.
-y = - $\frac { 2 } { 3 x ^ { 4 } }$
A) $\frac { d y } { d x }$ = $\frac { 8 } { ( 3 x ) ^ { 5 } }$
B) $\frac { d x } { d y }$ = - $\frac { 8 } { 3 }$ $x ^ { 5 }$
C) $\frac { d x } { d y }$ = $\frac { 24 } { x ^ { 5 } }$
D) $\frac { d y } { d x }$ = $\frac { 8 } { 3 x ^ { 5 } }$

Question

Quizplus · Accepted Answer

To differentiate $y = - \frac { 2 } { 3 x ^ { 4 } }$, apply the power rule for differentiation: bring down the exponent and subtract one from the exponent. The differentiation of $y$ with respect to $x$ gives $\frac { d y } { d x } = \frac { 8 } { 3 x ^ { 5 } }$.

Differentiate 23x4\frac { 2 } { 3 x ^ { 4 } }3x42​

Differentiate $\frac { 2 } { 3 x ^ { 4 } }$