If , which of the following statements is correct about the graph of at…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

If g′(3)=−4g'(3)=-4, which of the following statements is correct about the graph of y=g(x)y=g(x) at x=3x=3? (a) The tangent at x=3x=3 rises 44 units for every unit increase in xx. (b) The tangent at x=3x=3 falls 44 units for every unit increase in xx. (c) The normal at x=3x=3 has slope −4-4. (d) The tangent at x=3x=3 falls 11 unit for every 44-unit increase in xx."

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