What is the derivative of 2^(x)?

Callie Johnston

Callie Johnston

Answered question

2022-11-29

What is the derivative of 2x?

Answer & Explanation

Abigayle Dominguez

Abigayle Dominguez

Beginner2022-11-30Added 12 answers

Determine the derivative of 2x.
Let y=2x
Transforming the above equation by taking the natural logs of both sides results in:
logy=log(2x)logy=xlog(2)[logam=mloga]
Differentiating each side with respect to x, we get:
d(logy)dx=log2d(x)dx1ydydx=log2dydx=ylog2y=2xdydx=2x.log2
Therefore, the derivative of 2x is"2x.log2".

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