# If #f(x)= - e^x # and #g(x) =1 / sqrt(1-x #, how do you differentiate #f(g(x)) # using the chain rule?

##### 2 Answers

Substitute g in for x to find f(g) from f(x), and recall

#### Explanation:

Recall that the chain rule states that if

We have

(This step is unnecessary, but in case the student is curious, to find f(g) you substitute g in for x in f(x), making

We know that

Thus...

#### Explanation:

Replace

Apply the chain rule and standard differential

Apply the chain rule and power rule