MATH 112 Midterm: MATH 112 BYU KeyW2010A
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Fill in the answer to each problem on your scantron. Make sure your name, section and instructor is on your scantron. Fill in the blank with the appropriate answer. 1 point each: (10 points) (a) if f (x) = e3x then f (x) = Solution: 9e3x d dx (a3 + cos3 x) = (b) Solution: 3 cos2 x sin x d dx ex2 (c) 1 + x4 (e) lim x 0+ ln(1 + x) x. Solution: cosh(x) sinh(x) (g) d dx sin( 2 + e3) = Solution: 0 (h) use the linearization of f (x) = x at a = 9 to approximate 11. Solution: linearization at a = 9 is y = 3 (i) lim x 0 x2 + 3 ex = Solution: 3 (j) z 3x2 + 2x + 1 dx = Solution: x3 + x2 + x + c. Free response: give your answer in the space provided. Answers not placed in this space will be ignored.
