Question
For the function $ f $ graphed in Exercise 18:(a) Estimate the value of $ f'(50) $.(b) Is $ f'(10) > f'(30) $?(c) Is $ f'(60) > \dfrac{f(80) - f(40)}{80 - 40} $? Explain.
Step 1
The slope of this tangent line will give us an approximation of $ f'(50) $. Show more…
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For the function $ f $ graphed in Exercise 18: (a) Estimate the value of $ f'(50) $. (b) Is $ f'(10) > f'(30) $? (c) Is $ f'(60) > \dfrac{f(80) - f(40)}{80 - 40} $? Explain.
For the function $f$ graphed in Exercise $18 :$\begin{equation} \begin{array}{l}{\text { (a) Estimate the value of } f^{\prime}(50)} \\ {\text { (b) Is } f^{\prime}(10)>f^{\prime}(30) ?} \\ {\text { (c) } \text { Is } f^{\prime}(60)>\frac{f(80)-f(40)}{80-40} ? \text { Explain. }}\end{array} \end{equation}
Derivatives
Derivatives and Rates of Change
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