If #f(x)= - e^x # and #g(x) =1 / sqrt(1-x #, how do you differentiate #f(g(x)) # using the chain rule?
Substitute g in for x to find f(g) from f(x), and recall
Recall that the chain rule states that if
(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
Apply the chain rule and standard differential
Apply the chain rule and power rule