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1. Suppose f is differentiable at x = 1. If f (1) = -1 and f' (1) = 4, find (x . f (x) )

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1. Suppose f is differentiable at x = 1. If f (1) = -1 and f' (1) = 4, find (x . f (x) ) at x = 1. [A] 1 [B] 0 [C] 3 [D] 2 [E] -1 2. Suppose that f and g are both differentiable at x = 2 and that f(2) = 4, f'(2) = 5, g(2) = 2, and g'(2) = 4. Find h'(2) if h(x) =(xx) [A] -2 [B] 0 [C] z [D] -1 [8] -2 3. Find the value of x for which the slope of the tangent line to the curve y = 100e-5x is -500 [A] 5 [B] 0 50 [D] 1 [E] 10 4. Find the slope of the line tangent to the graph of the function f(x) = tank a x2 at the point where X =1. [A] [B] 7 [C] 7 + 1 [D] [E] V2+1 IT 3

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