Tables 1 and 2 give selected values for g and its derivative

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

Tables 1 and 2 give selected values for g and its derivative, and for f'. Let y = f(g(x)). Table 1 x g(x) g'(x) 2 3 4 4 5 –1 6 4 2 Table 2 u f'(u) 3 –2 4 0 5 3 Using the information in the tables, determine dydx\dfrac{dy}{dx} at x = 4. (a) 00 (b) −1-1 (c) −3-3 (d) 33

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