Solution: Use the given graph to estimate the value of each derivative. Then sketch the

Chapter 2, Problem 2

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QUESTION:

Use the given graph to estimate the value of each derivative. Then sketch the graph of \(f^{\prime}\).

(a) \(f^{\prime}(0)\)
(b) \(f^{\prime}(1)\)
(c) \(f^{\prime}(2)\)
(d) \(f^{\prime}(3)\)
(e) \(f^{\prime}(4)\)
(f) \(f^{\prime}(5)\)
(g) \(f^{\prime}(6)\)
(h) \(f^{\prime}(7)\)

Questions & Answers

QUESTION:

Use the given graph to estimate the value of each derivative. Then sketch the graph of \(f^{\prime}\).

(a) \(f^{\prime}(0)\)
(b) \(f^{\prime}(1)\)
(c) \(f^{\prime}(2)\)
(d) \(f^{\prime}(3)\)
(e) \(f^{\prime}(4)\)
(f) \(f^{\prime}(5)\)
(g) \(f^{\prime}(6)\)
(h) \(f^{\prime}(7)\)

ANSWER:

Step 1 of 9

a) To calculate \(f^{\prime}(0)\), draw a tangent at point \((x, f(x))\) and estimate the slope of the tangent.

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