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Exam (elaborations)
Exam (elaborations) CALCULUS (1) PROBLEM SET
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Differentiate the function (1) − (4). (1) f(x) = (x − 2)(2x + 3). (2) y = √ x(x − 1). (3) y = x 2 − 2√ x x . (4) u = √5 t + 4√ t5 . Find an equation of the tangent line to the curve at the given point (5) − (6). (5) y = x 4 + 2e x , (0, 2). (6) y = (1 + 2x) 2 , (1, 9). (7) Find the points on the curve y = 2x 3 + 3x + 1, where the tangent is hori- 2 − 12x zontal. (8) Let f(x) = ( 2 − x if x ≤
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