5. Consider the following graph. This graph represents the DERIVATIVE of f. Answer the following questions. -3 -2 swer. N O -2 N 3 (a) On what interval(s) in f(x) concave up? On what interval(s) is f(x) concave down. Identify any inflection points. (b) Estimate an x-value where a local maximum occurs. Justify your an-

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A: Take, f(x)=x2 over an interval [-2,-1] over this interval f(x)>0, but, f'(x)=2x which is strictly…

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A: Given function is  f(x)= x^3 -3x^2 -9x-1

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A: Say about the behavior of function f when f'(x) is given .

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Q: Given the graph of y = f(x), sketch the graphs of f' and f" on the same set of axis. 1.

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Q: W 9 O(A) and ronl Graph of f' 38. The graph of f', the derivative of f, is shown in the figure…

A: Given information:The graph of the function shown below is of  where  is the derivative of .To…

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Q: The graph of f(x) = − x² − 4x - - tangent to f(x) at x = −3. Provide your answer below: -10 -5 10 -5…

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Q: On the attached graph, indicate the position of f'(1).

A: The slope of the graph decreases the derivative graph also decreases. Similarly, as the slope of the…

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Q: Suppose f(x) has a point of inflection at (C, f(c)). Which of the following best describes this…

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Q: Q2. Derive the following formula for approximating the derivative f": ƒ"(x) ≈ : (-f(x+2h) +16f(r+h)-…

A: To show:- f''x ≈112h2  -fx+2h + 16 f(x+h) -30 f(x) +16 f(x-h) - f(x-2h)

Q: Given the graph of f(x) below, find the graph of the derivative of f(x). 1-6-5-4-3-2-1 1.7

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Q: Use the second derivative test. Show Graph. Find all relative extrema of ƒ (x) = xª – 4x³ + 1

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A: Common Functions Function Derivative Constant c 0 Line x 1   ax a Square x2 2x Square Root…

Q: Use the rules for derivatives to find the derivative of each function defined as follows. For now,…

A: Function 26: y=4x2(3x−2)5  :  Therefore, using the chain rule to differentiate function 26, we…