Show all your work and justify your answer! No partial credit will be given for the answer only! You must simplify your answer when possible but don"t simpl y numbers! All problems in part i are 6 points each: use the de ntion of the derivative to show that (x2) = 2x, find the derivative of f (x) = x cos(x). 2: find the derivative of f (x) = sin(x5), find the derivative of f (x) = x3 + 1. 1 x3: find the derivative of f (x) = z x. 3: evaluate r x2(x + 1) dx, evaluate z x3. 1 x dx: evaluate z x2 ex3 dx. 4: use a riemann sum with 3 terms and the midpoint rule to approximate the value of z 3. [you do not need to multiply and add the resulting sum of numbers!: use newton"s method to compute the second approximate solution to the equa- tion f (x) = sin(x) x.
