Find the derivative of the function.
$g ( x ) = 6 x ^ { - 3 } + 2 x ^ { - 5 }$
A) $g ^ { \prime } ( x ) = 18 x ^ { - 4 } + 10 x ^ { - 6 }$
B) $g ^ { \prime } ( x ) = 6 x ^ { - 3 } + 2 x ^ { - 5 }$
C) $g ^ { \prime } ( x ) = - 18 x ^ { - 3 } - 10 x ^ { - 5 }$
D) $g ^ { \prime } ( x ) = - 6 x ^ { - 4 } - 2 x ^ { - 6 }$
E) $g ^ { \prime } ( x ) = - 18 x ^ { - 4 } - 10 x ^ { - 6 }$

Question

Find the derivative of the function. 
 $g ( x ) = 6 x ^ { - 3 } + 2 x ^ { - 5 }$  
A) $g ^ { \prime } ( x ) = 18 x ^ { - 4 } + 10 x ^ { - 6 }$
B) $g ^ { \prime } ( x ) = 6 x ^ { - 3 } + 2 x ^ { - 5 }$
C) $g ^ { \prime } ( x ) = - 18 x ^ { - 3 } - 10 x ^ { - 5 }$
D) $g ^ { \prime } ( x ) = - 6 x ^ { - 4 } - 2 x ^ { - 6 }$
E) $g ^ { \prime } ( x ) = - 18 x ^ { - 4 } - 10 x ^ { - 6 }$

Quizplus · Accepted Answer

To find the derivative of $g(x) = 6x^{-3} + 2x^{-5}$, apply the power rule for derivatives, $d/dx[x^n] = nx^{n-1}$, to each term. For the first term, the derivative is $-18x^{-4}$, and for the second term, it's $-10x^{-6}$.

Find the Derivative of the Function g(x)=6x−3+2x−5g ( x ) = 6 x ^ { - 3 } + 2 x ^ { - 5 }g(x)=6x−3+2x−5

Find the Derivative of the Function $g ( x ) = 6 x ^ { - 3 } + 2 x ^ { - 5 }$