Question

find the derivative of $f(x)$.

$f(x)=2^{x}$

$f(x)=$

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Explanation:

Step1: Recall the derivative formula for \(a^x\)

The derivative of \(y = a^x\) is \(y'=a^x\ln a\).

Step2: Apply the formula to \(f(x)=2^x\)

Here \(a = 2\), so \(f'(x)=2^x\ln 2\).

Answer:

\(2^x\ln 2\)