MATH 124 Final: MATH 124 Final Exam Fall 2017

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31 Jan 2019
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MATH 124 Full Course Notes
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MATH 124 Full Course Notes
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Ta"s name: turn o all cell phones, pagers, radios, mp3 players, and other similar devices, this exam is closed book. You may use one 8. 5 11 sheet of handwritten notes (both sides. No photocopied materials are allowed: you can only use a texas instruments ti-30x iis calculator, in order to receive credit, you must show all of your work. Please make sure that your exam is complete. Page 1 of 9: (14 total points) compute the following derivatives. (a) (4 points) d dx (ee + xe + ex + xx) (b) (4 points) d dt arctan(cid:18) t + . 1 t(cid:19) (c) (6 points) let f (x) = ( x2 sin(cid:16) 1. 0 x(cid:17) if x 6= 0; if x = 0: find f (x) when x is not zero, using the de nition of the derivative, nd f (0) (if it exists). Page 2 of 9: (12 total points) compute the following limits.