Find the derivative of y with respect to the independent variable.
-$$\mathrm { y } = \mathrm { t } ^ { 7 - \mathrm { e } }$$
A) $( 7 - \mathrm { e } ) \mathrm { t } ^ { 6 - \mathrm { e } }$
B) $t ^ { 7 - e }$
C) $\frac { t ^ { 8 - e } } { 8 - e }$
D) $( 6 - \mathrm { e } ) \mathrm { t } ^ { 7 - \mathrm { e } }$

Question

Quizplus · Accepted Answer

To find the derivative with respect to t, we use the chain rule and the power rule:
$y'= (7-e)t^{6-e}\cdot \frac{d}{dt}(t) = (7-e)t^{6-e}\cdot 1 = (7-e)t^{6-e}$

Find the Derivative of Y with Respect to the Independent y=t7−e\mathrm { y } = \mathrm { t } ^ { 7 - \mathrm { e } }y=t7−e

Find the Derivative of Y with Respect to the Independent $\mathrm { y } = \mathrm { t } ^ { 7 - \mathrm { e } }$