MATH 246 Final: Practice Final No Solutions Fall 2008

• School: University of Maryland
• Department: Mathematics
• Course: MATH 246
• Professor: All

Document Summary

Find f (x) or dy dx for each of the following. [4 pts. ] f (x) = x4 + 2x + 1. b. ) [4 pts. ] f (x) = ex x . f (x) = 4x3 + 2 f (x) = xex ex x2 c. ) [4 pts. ] y2 + ln(x sin x) = 2. (find dy dx ). 1 x sin x (x cos x + (sin x)(1))dx = 0 x cos x + sin x. = 0 x sin x x cos x + sin x. 2y x sin x x cos x + sin x. 2yx sin x dy dx d. ) [4 pts. ] f (x) = tan3 x. f (x) = Use the intermediate value theorem to show that the function f (x) = x3 2x + 1 has three zeroes (i. e. the equation f (x) = 0 has three solutions). f ( 4 f (0) = 1 f ( 2) = 3.