i think there is no short cut...
inverse the function and calculate..
(a) Given that f(x) = x6, find f '(2).
f '(x) = 6x^5
f '(2) = 192
(b) Find f -1(x).
Is there a formula for part b? its easy to just take the inverse in this case...but what if there was a function that is very hard to inverse, or impossible. Thanks.