Thread: compute the tangent line

need help with this one:

compute the tangent line of the graph of at .
Use the inverse function slope relation to find the corresponding tangent line of the graph of

Well, we know that the tangent line will pass through (0,f(0)) and have slope of f'(0). Just write down y=ax+b and use these two conditions to obtain a,b.

(hint: a=f'(0) straight away)

For the tangent to the inverse function, it will pass through the point (f(0),0) and have a slope of 1/f'(0). Use the same argument here also.