The table below gives the value of a function f and its derivative f' at several values of x. x 0 1 f(x) 6 -1 f'(x) -2 -2 0 0-2 3 01 0-1 21 LO 2 5 1 3 35 4 465 Use the table to compute ƒ/² ƒ'(x) dx. -6 5 5|5 3 1

Q: The graph of f(x) is given below. On what interval(s) is the value of the derivative f'(x) positive?…

A: To find out the interval in which the function is increasing or positive.

Q: ...... . . *********************** .... ...... ......... Find the slope of the graph of the function…

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Q: Determine where the function f(x) is decreasing given the first derivative is: ƒ¹(x) = x²(x + 1)

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A: The given function is

Q: The figure below shows the graph of f. Match the derivatives in the table with the points a, b, c,…

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Q: Let f(x) and its linear derivative f'(x) be defined for all real numbers. Use the table of selected…

A: Step 1:Step 2:

Q: 18- 16 14 12 10 8 6 2 1 2 Estimate the instantaneous rate of change at z = 2

A: Consider the given: Hello. Since your question has multiple parts, we will solve first question for…

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A: The given function is fx=4x+2x12-8x-78+x2-1x3+2. Find the derivative of the given function. Here we…

Q: b) Using the given graph of f(x) check the box next to the best choice for the graph of the…

A: Given:-                   Using the given graph of f(x) check the box next to the best choice for…

Q: Do not use technology. The figure below shows the graph of f', the derivative of f. The function f…

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Q: 4. Fill in the table below by taking the derivative of the listed function or finding function that…

A: Taking derivatives