Please help me a question about differentiation :(

Recall that f'(tanx) = sec^2(x) = tan^2(x) +1

By defining suitable f(x) and g(x) such that f(g(x)) = x and using the chain rule, find the derivative of tan^-1(x) [this is the same as arctan x ] with regard to x

could you help me about this?

have a nice day.

Re: Please help me a question about differentiation :(

What would you get for ? (Hint: You can probably copy the answer directly from your book. I am just asking you to write the formula for the Chain Rule.)

Re: Please help me a question about differentiation :(

"By defining suitable f(x) and g(x) such that f(g(x)) = x" means that f and g are inverse functions, right? So since you are given information about tan(x) and asked about . So what do **you** think "f" and "g" ought to be?

Re: Please help me a question about differentiation :(

Quote:

Originally Posted by

**yanirose** Recall that f'(tanx) = sec^2(x) = tan^2(x) +1

By defining suitable f(x) and g(x) such that f(g(x)) = x and using the chain rule, find the derivative of tan^-1(x) [this is the same as arctan x ] with regard to x

could you help me about this?

have a nice day.