Student ID#: Clearly show how you arrive at your answer. No credit will be given if only an answer is indicated Q1[15 pts]: Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. (a) If h(x) = f(x)g(x) then h'(x) = f' (x)g'(x). (b) If f is differentiable then - f(Vx) = f(Vx) 2Vx. (c) If f has a local minimum value at c then f' (c) = 0. (d) If f is continuous on [a, b] then | xf(x)dx =x [ f(x)dx. (e ) 1 dx = - 2. -1