Measured values of a differentiable function (each accurate within ) are and

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

Problem

Measured values of a differentiable function

h

(each accurate within

\pm0.03

) are

h(1.45)=6.12

and

h(1.55)=6.48

. (a) Estimate

h'(1.5)

. (b) Give an error bound for your estimate that accounts for the measurement uncertainty.

Related theory

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

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