When Are Derivatives and Areas Equal Let . (a) Draw a
Chapter 10, Problem 10.1.1.304(choose chapter or problem)
Let \(f(x)=2 x^{2}+3 x+1 \text { and } g(x)=x^{3}+1\).
(a) Compute the derivative of ƒ.
(b) Compute the derivative of g.
(c) Using \(x=2 \text { and } h=0.001\), compute the standard difference quotient \(\frac{f(x+h)-f(x)}{h}\) and the symmetric difference quotient \(\frac{f(x+h)-f(x-h)}{2 h}\).
(d) Using \(x=2 \text { and } h=0.001\), compare the approximations to \(f^{\prime}(2)) in part (c). Which is the better approximation?
(e) Repeat parts (c) and (d) for g.
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