Let . Using only the two function values and , determine an estimate, to three…

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Let s(x)=x3s(x)=x^{3}. Using only the two function values s(2)=8s(2)=8 and s(2.001)=8.012006001s(2.001)=8.012006001, determine an estimate, to three decimal places, of the instantaneous rate of change of ss at x=2x=2.

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