Find the 36th derivative of f (x) = sin2x. Enclose arguments of functions in parentheses. For example, sin (2x). Enter your answer using exponents for co 36 instead of 729 (hint: your constant will likely be larger than this). f(36) (x) =

A student takes the derivative of the function h(x) = (x² + sin (x) )(1 − cos (x) ) as follows: h(x) = (2x + cos(x)) sin(x) Is this correct or not? Explain what the student did, and if not correct, write down the correct derivative.

Solve the following using implicit differentiation.     sqrt(x+y) = y2 + x2