Show all your work, justify and simplify your answer! No partial credit will be given for the answer only! You must simplify your answer when possible but you don"t need to com- pute numbers: e6 sin(12/5) + 8 is a ne answer. All problems in part i are 6 points each. (1) use the de nition of the derivative to show that the the derivative of the function f (x) = x2 + 3 is f (x) = 2x. 3 (6) evaluate r x2 sin(x3 + 4). (7) evaluate z x3 + x x2 dx. 4 (8) find the linearization of the function f (x) = ln(x) at a = 1 and use it to approximate the value f (1. 1) = ln(1. 1). (9) find the derivative of the function f (x) = z x. 2 cos(t3) dt. (10) use a riemann sum with n = 2 terms and the midpoint rule to approximate the value of z 3.
