Using a Numerical Integral Which of the following cannot

Chapter 10, Problem 10.1.1.301

(choose chapter or problem)

In Exercises 45–48, choose the correct answer. Do not use a calculator.

Multiple Choice Estimating Derivative Values Given a continuous function ƒ, which of the following expressions will typically produce the most accurate estimate of \(f^{\prime}(a)\)?

\(\begin{array}{l}\text{(A) } \frac{f(a+0.05)-f(a-0.05)}{0.05}\\\text{(B) } \frac{f(a+0.05)-f(a-0.05)}{0.1}\\\text{(C) } \frac{f(a+0.01)-f(a)}{0.01}\\\text{(D) } \frac{f(a+0.01)-f(a-0.01)}{0.01}\\\text{(E) } \frac{f(a+0.01)-f(a-0.01)}{0.02}\end{array}\)

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