Another way....
Use the product & chain rules:
Product rule d(f(x)g(x))/dx = f(x)g'(x) + f'(x)g(x)
Example: f'( ) = and then simplify if necessary. Yes, that simple!
"First times the derivative of the 2nd, plus the 2nd times the derivative of the first."
Chain rule (f(g(x)))' = f'(g(x))*g'(x)
Example: f' ( ) =
"Derivative of the expression times the derivative of what's inside."