MATH 150 Final: MATH1501 MATH1501 FinalD

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Math 150 d100 / math 151 d100: evaluate the following limits. [4] (c) use the de nition of the derivative to nd the derivative of f (x) = x. #1 5 of 28: all parts of this question involve nding derivatives. You do not need to simplify your answers. [3] (a) if f (x) = ex2+1 x sin(x) [4] (b) if ln(y) + x = x2 + x cos(y), nd dy dx in terms of x and y. Math 150 d100 / math 151 d100: suppose. #1 7 of 28 f (x) = x2 + 3 x 1 f (x) = (x + 1)(x 3) (x 1)2 f (x) = [3] (a) determine the critical points of f . [3] (b) determine the intervals on which the function f is increasing, and those on which the function f is decreasing. Classify the critical points as either local maxima, local minima, or neither.