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My original function is f(x)=2x^3-3x. If h is the inverse function then h'(y)= How do i solve this? I switched x and y and got confused
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f'(x) = 6x^2 -3 derivative of inverse is 1/f'(x) so h' = 1/(6x^2 -3)
Does this work every time or only in special cases?
every time when f' is not equal 0
okay thanks alot!!! :)
welcome
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This site might help you: http://en.wikipedia.org/wiki/Inverse_functions_and_differentiation
Thank you!!
yw
Yes, don't ever try to find the inverse and derive; it is slower and inefficient. And, sometimes it's not very easy (for example, if your function was a polynomial you didn't know how to solve, how would you isolate the variables?)
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