Let . Use to estimate the instantaneous rate of change of at , correct to three…

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

Problem

Let

f(x)=\sqrt{x}

. Use

h=0.001

to estimate the instantaneous rate of change of

f

x=9

, correct to three decimal places.

Related theory

Derivative Foundations
Differentiation from first principles
Intuitive idea of derivatives
Limits and Derivatives

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