Consider the function y = x In x. Select the simplified derivative y' from the list below. Select one: a. i x b. IIIx I c. lnx+x d. lnx+1 Find the derivative of y = (J)? + Shhc. Selectone: a.y'=1+% b y=x+3 c.y'=xi d y'=1+%x e y':% Find the derivative of y = x'2(ex + Vi). Select one: a. y' = 2x'3(e" + Vi) + (ex + %)x2 b. y' = 2x'3ex c. y' = 2x'3(e" + ) + exac2 d. y' = 2x'3(e" + Vi) + vexIf] Consider the function y = arse". When thinking about this function as a product y = f(x)g(x), let f(x) = x5 and g(x) = e" . Follow the order requested in answering these questions, do not insert any spaces, and do not use any parentheses. f'(x) = g'm = f '(x)g(X) + f (30505) =