m19Am1f10.pdf - Math 19A MIDTERM EXAM 0.9 Math 19A Dr Frank...

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Math 19A MIDTERM EXAM 0. 9 Math 19A 10/22/2010 , Dr. Frank B¨auerle, UCSC Notes: Show your work. In other words, just writing the answer, even if correct, may not be su ffi cient for full credit. Scientific calcula- tors are allowed, but no programmable and/or graphing calculators. And please put away your cell phones and other electronic devices, turned o ff or in airplane mode. Your Name: Your TA’s Name: Problem 1: out of 20 Problem 2: out of 10 Problem 3: out of 10 Problem 4: out of 10 Problem 5: out of 10 Problem 6: out of 10 Problem 7: out of 10 Problem 8: out of 20 Total: out of 100 Good luck and have a relaxed weekend! 1
1. (20 points) Compute the requested derivatives of the functions. NO NEED TO SIM- PLIFY. (a) y ( x ) for y ( x ) = 1 1 + x 2 (b) dy dx for y = e x + x e + e e (c) f ( t ) for f ( t ) = t + t t (d) df dx for f ( x ) = (5 x 7 - 3 x 4 - x + 12)(sec x + tan x ) 2

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