MATH 0220 Midterm: Math 0220 hw5-10answers-270
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Determine the derivative of the given functions using the derivative rules. Name your answer as much as possible. (a) f (x) = 3x + 1 e answer: f (x) = + 3 arcsin (x2) answer: y (x) = 2x(2x. ) ln (2) + (c) g(x) = ln (2x + e 2x) answer: g (x) = 2x + e 2x (d) h(x) = x2 arctan (3x) 1 x4 answer: h (x) = 2x arctan (3x) + 1 + 9x2 (e) y = ln vuut. 3x + 2 cos (3x) answer: y (x) = 3e3x 3 cos x + cos x x sin x. 2 xx lim x 0+ answer: ln p = lim x 0+ Therefore the answer for p , the actual limit, is p = e0 = 1. ln x. = 0: determine the inverse of f (x) = 4 + 3 ln (1 + 2x). answer: f 1(x) =
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