$\text { Find the derivative of the function } f ( x ) = 6 e ^ { 8 x } - e ^ { - 4 x } \text {. }$
A) $48 e ^ { 7 x } + 4 e ^ { - 5 x }$
B) $8 e ^ { 8 x } - 4 e ^ { - 4 x }$
C) $48 e ^ { 8 x } - 4 e ^ { - 4 x }$
D) $8 e ^ { 8 x } + 4 e ^ { - 4 x }$
E) $48 e ^ { 8 x } + 4 e ^ { - 4 x }$

Question

$\text { Find the derivative of the function } f ( x ) = 6 e ^ { 8 x } - e ^ { - 4 x } \text {. }$ 
A) $48 e ^ { 7 x } + 4 e ^ { - 5 x }$
B) $8 e ^ { 8 x } - 4 e ^ { - 4 x }$
C) $48 e ^ { 8 x } - 4 e ^ { - 4 x }$
D) $8 e ^ { 8 x } + 4 e ^ { - 4 x }$
E) $48 e ^ { 8 x } + 4 e ^ { - 4 x }$

Quizplus · Accepted Answer

The derivative of $f(x) = 6e^{8x} - e^{-4x}$ is found using the chain rule. The derivative of $e^{8x}$ is $8e^{8x}$ and the derivative of $e^{-4x}$ is $-4e^{-4x}$. Thus, the derivative of $f(x)$ is $48e^{8x} + 4e^{-4x}$.

Find the derivative of the function f(x)=6e8x−e−4x. \text { Find the derivative of the function } f ( x ) = 6 e ^ { 8 x } - e ^ { - 4 x } \text {. } Find the derivative of the function f(x)=6e8x−e−4x.

$\text { Find the derivative of the function } f ( x ) = 6 e ^ { 8 x } - e ^ { - 4 x } \text {. }$