Question

find the derivative of the function below.
$y = e^{10x}$
$\frac{dy}{dx} = \square$

Explanation:

Step1: Apply chain rule for $e^{u}$

Let $u=10x$, so $\frac{dy}{dx}=e^u \cdot \frac{du}{dx}$

Step2: Compute derivative of $u$

$\frac{du}{dx}=10$

Step3: Substitute back $u$

$\frac{dy}{dx}=e^{10x} \cdot 10 = 10e^{10x}$

Answer:

$10e^{10x}$