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1. Find the derivatives of the following functions. (a) f(x) = (713+2x 7 e51 ( b) y = (37) 2 (f) f(I) - V 72
1. Find the derivatives of the following functions. (a) f(x) = (713+2x 7 e51 ( b) y = (37) 2 (f) f(I) - V 72 -5 (c) y = 312 In(3x + 2) (d) f(x) = ex (g) y - 3 In(7) + 2 (c) f(x) = _ 1 Ver + 1 (h) y=x + (x 4x3 + (x 4 12)3)2 2. Let f(x) and g(r) be functions such that g(3) - 2, g'(3) - 7, f(2) - 5, and f'(2) = -3. (a) What is (f(g(r)) )' evaluated at r = 3? (b) What is (f(g(3)))"? 3. Let f(x) be a differentiable function. (a) Find the derivative of f (T) using the Quotient Rule. (b) Find the derivative of (f(r) ) - using the Chain Rule. (c) Are these expressions the same? Explain
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