MA 125 Final: MA125_Cal_I_15_Spring-Final Spring 2015
Document Summary
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 4 points each: use the de nition of the derivative to show that the derivative of the function y = f (x) = 1 x is f (x) = . 2 . x: find the derivative f (x) if f (x) = x3 sin(x), find the derivative f (x) if f (x) = ln(x4 + x2). 2: find the derivative f (x) if f (x) = x x. 2 1 : find the anti-derivative r x2(1 + x) dx, find the anti-derivative r xex. 2 dx: find the anti-derivative r x2(x3 + 5)7 dx. 3: solve ln(2x + 1) = 3, if f (x) = z x.