Find the derivative of $y = 4 ^ { x } - 4$ .
A) $4 ^ { x }$
B) $( \ln 4 ) 4 ^ { x }$
C) $( \ln 4 ) 4 ^ { x } - \ln 4$
D) $x 4 ^ { x - 1 }$

Question

Quizplus · Accepted Answer

The derivative of $y = 4^x - 4$ with respect to $x$ is found by applying the chain rule to $4^x$ and recognizing that the derivative of a constant is 0. The derivative of $4^x$ is $(\ln 4)4^x$, making the correct answer $(\ln 4)4^x$.

Find the Derivative Of y=4x−4y = 4 ^ { x } - 4y=4x−4

Find the Derivative Of $y = 4 ^ { x } - 4$