Find the derivative of the function. $$f ( x ) = \frac { 1 } { x ^ { 8 } }$$
A) $f ^ { t } ( x ) = - \frac { 9 } { x ^ { 9 } }$
B)$f ^ { t } ( x ) = - \frac { 8 } { x ^ { 7 } }$
C) $f ^ { t} ( x ) = \frac { 8 } { x ^ { 9 } }$
D) $f ^ { t } ( x ) = - \frac { 8 } { x ^ { 9 } }$
E)$f ^ { t } ( x ) = - \frac { 7 } { x ^ { 9 } }$

Question

Quizplus · Accepted Answer

Apply the power rule by bringing the exponent down and subtracting 1 from the original exponent:
$$f'(x) = -8x^{-8-1} = -8x^{-9} = -\frac{8}{x^9}$$

Find the Derivative of the Function f(x)=1x8f ( x ) = \frac { 1 } { x ^ { 8 } }f(x)=x81​

Find the Derivative of the Function $f ( x ) = \frac { 1 } { x ^ { 8 } }$