Find the derivative of the function. $f ( x ) = \frac { 1 } { x + 13 }$
A) $- \frac { 1 } { ( x + 13 ) ^ { 2 } }$
B) $- \frac { 1 } { 2 \sqrt { x + 13 } }$
C) $\frac { 39 } { x ^ { 4 } }$
D) $\frac { 1 } { ( x + 13 ) ^ { 2 } }$
E) $\frac { 1 } { 2 \sqrt { x - 13 } }$

Question

Find the derivative of the function.   $f ( x ) = \frac { 1 } { x + 13 }$  
A) $- \frac { 1 } { ( x + 13 ) ^ { 2 } }$
B) $- \frac { 1 } { 2 \sqrt { x + 13 } }$
C) $\frac { 39 } { x ^ { 4 } }$
D) $\frac { 1 } { ( x + 13 ) ^ { 2 } }$
E) $\frac { 1 } { 2 \sqrt { x - 13 } }$

Quizplus · Accepted Answer

The derivative of $f(x) = \frac{1}{x + 13}$ can be found using the chain rule, resulting in $f'(x) = -\frac{1}{(x + 13)^2}$.

Find the Derivative of the Function f(x)=1x+13f ( x ) = \frac { 1 } { x + 13 }f(x)=x+131​

Find the Derivative of the Function $f ( x ) = \frac { 1 } { x + 13 }$