# What is the derivative of y= e^(3x/4)?

Aug 14, 2015

The answer is -
$\frac{\mathrm{dy}}{\mathrm{dx}}$ = $\frac{3}{4}$.${e}^{3 \frac{x}{4}}$

#### Explanation:

Understand
${e}^{\left(s o m e \exp r e s s i o n\right)}$ is to be differentiated as

(Differentiation of some expression). ${e}^{\left(s o m e \exp r e s s i o n\right)}$

Apply this to the problem

Here expression is $3 \frac{x}{4}$
It can be written as $\frac{3 x}{4}$
Again it can be written as $\frac{3}{4} x$

Differentiation of $\frac{3}{4} x$ is $\frac{3}{4}$

Hence $\frac{\mathrm{dy}}{\mathrm{dx}}$ = $\frac{3}{4}$.${e}^{3 \frac{x}{4}}$