I'm stuck trying to figure out how to solve for a derivative. Any help would be greatly appreciated.

Question

The problem I am stuck on is: d/dx sinh(x³).

I know the derivative of sin(x) is cos(x) and the derivative of x³ is 3x², but I am getting stuck on the h part and putting it all together. Thanks again for all help.

Answer 1

The most straightforward way to do this is to apply the chain rule. To answer your question about the h, that simply signifies that it is the hyperbolic sine function. For the purpose of differentiation though, that isn't really important. d/dx of sinh(x) is cosh(x).

To put it all together, you would multiply the derivative of the inside function (x³) by the derivative of the outside function (sinh(x³)).

Hope that helps!