Chapter 4.4, Problem 1E

To determine

To calculate: The derivative of the given function.

Answer to Problem 1E

The derivative is $\frac{dy}{dx}=2e^x$.

Explanation of Solution

Given Information: The given function is $y=2e^x$ .

Calculation:

The derivative of the function is,

  $\begin{array}{c}y=2e^x\\ \frac{dy}{dx}=\frac{d}{dx}\left(2e^x\right)\left(\text{Substitute the value of }y\right)\\ =2\frac{d}{dx}\left(e^x\right)\left(\text{Take the constant out}\right)\\ =2e^x\left(\because \frac{d}{dx}\left(e^x\right)=e^x\right)\end{array}$