MATH 19 Final: MATH 19 Final Exam Fall 2009
Document Summary
Math 19 2009: complete the following problems. You may use any result from class you like, but if you cite a theorem be sure to verify the hypotheses are satis ed: this is a closed-book, closed-notes exam. No calculators or other electronic aids permitted: in order to receive full credit, you must show all of your work and justify your answers. On my honor, i have neither given nor received any aid on this examination. I have furthermore abided by all other aspects of the honor code with respect to this examination. 8. (/20 points) (/5 points) (/25 points) (/10 points) (/10 points) (/10 points) (/10 points) (/10 points) State the limit de nition of the derivative of a function f at x. (b) (5 points) Using your de nition from (a), compute the derivative of f (x) = x + 2 at x = 2. Now check your answer from (b) by computing the derivative of f (x) =
