How do you differentiate #f(x)=csce^(4x)# using the chain rule.?
The chain rule states that when differentiating a function inside of a function, (1) differentiate the outside function and leave the inside function as is, and (2) multiply this by the derivative of the inside version.
Thus, since the derivative of
Don't forget to multiply by the derivative of the inside function, which is
The outside function is
Plug this back in to the derivative of the whole function: