# How do you differentiate # f(x)= (7e^x+x)^2 # using the chain rule.?

##### 1 Answer

#### Explanation:

With the chain rule, if you have some composition of functions that looks like

then the derivative

Essentially, differentiate the outside function while treating the whole inside function as if it's a single variable, and multiply it by the derivative of the inside function.

To illustrate what I mean, just imagine

Then we have

Right?

So, to find the derivative, we'll just apply the formula we have above.

The derivative of

And, the derivative of

Let's plug all that in:

And there's our answer.