Chapter 7, Problem 1CRE

To determine

Find the derivative of the given function.

Answer to Problem 1CRE

The derivative of the given functionis $2^{x\ln \left(2\right)}$ .

Explanation of Solution

Given:

The given function is $\frac{d}{dx}\left(2^x\right)$ .

Calculation:

Given: $\frac{d}{dx}\left(2^x\right)$

Use derivative exponent rule

  $\frac{d}{dx}\left(a^x\right)=a^{x\ln \left(a\right)}$

  $\begin{array}{l}\frac{d}{dx}\left(2^x\right)\\ =2^{x\ln \left(2\right)}\end{array}$

Hence the derivative of the given functionis $2^{x\ln \left(2\right)}$ .