Let . Thus the derivative, using the chain rule equals: . From the first equality, we know this equals . The TI-89 says because .
In general, , where is a constant.
This is a pretty simple one I guess but I'm not understanding whats happening here two part question:
First simply finding d/dx(4^x)?
The ti-89 says 2*ln(2)*4^x and I'm not getting the mechanics of it.
This is all part of a larger problem which is:
Find f'(x): (4^x*x^(1/3))/tanx
Do I use the product rule seperately to get the deriv of the numerator and then do the quotient rule for the new numerator/tan(x)?