Find the derivative of the function.
$$f ( x ) = ( 4 x + 9 ) ^ { 9 }$$
A) $36 ( 4 x + 9 ) ^ { 8 }$
B) $9 ( 4 x + 9 ) ^ { 8 }$
C) $9 x ( 4 x + 9 ) ^ { 8 }$
D) $36 x ( 4 x + 9 ) ^ { 8 }$

Question

Quizplus · Accepted Answer

The derivative of $f(x) = (4x + 9)^9$ is found using the chain rule. The outer function is raised to the 9th power, and the derivative of the inner function $4x + 9$ is 4. Thus, the derivative is $9(4x + 9)^8 \times 4 = 36(4x + 9)^8$.

Find the Derivative of the Function f(x)=(4x+9)9f ( x ) = ( 4 x + 9 ) ^ { 9 }f(x)=(4x+9)9

Find the Derivative of the Function $f ( x ) = ( 4 x + 9 ) ^ { 9 }$