Find the derivative.
-$$w = z ^ { 6 - e }$$
A) $( 5 - e ) z ^ { 6 - e }$
B) $\frac { z ^ { 7 - e } } { 7 - e }$
C) $( 6 - \mathrm { e } ) \mathrm { z } ^ { 5 - \mathrm { e } }$
D) $z ^ { 6 - e }$

Question

Quizplus · Accepted Answer

The derivative of $w = z^{6-e}$ with respect to $z$ is found using the power rule for differentiation, which states that the derivative of $z^n$ is $nz^{n-1}$. Applying this rule, the derivative is $(6-e)z^{(6-e)-1} = (6-e)z^{5-e}$.

Find the Derivative w=z6−ew = z ^ { 6 - e }w=z6−e

Find the Derivative $w = z ^ { 6 - e }$