find the derivative of $f(x)$.\n\n$f(x)=2^{x}$\n\n$f(x)=$\n\nsubmit

find the derivative of $f(x)$.\n\n$f(x)=2^{x}$\n\n$f(x)=$\n\nsubmit

find the derivative of $f(x)$.\n\n$f(x)=2^{x}$\n\n$f(x)=$\n\nsubmit

Answer

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)