## anonymous 5 years ago y = sinh-1(7x) how to difrentiate?

1. nowhereman

Use the formula for differentiating inverse functions.

2. anonymous

dy/dx=1/cosh(7x) is that correct?

3. nowhereman

No, the correct formula is: $\frac{df^{-1}(y)}{dy} = \frac{1}{\frac{df}{dx}(f^{-1}(y))}$