4. Let f be the function given by f(x) = 4-x. g is a function with derivative given by g'(x) = f(x)f'(x)(x - 2). On what intervals is g decreasing? a. (-∞, 2] b. [2,00) c. [2,4] [4,00)

Q: The graph of the derivative of f is shown below: -y-5 4 -3 -2- -1- 0 1 2 f'(x) 3 4 f', the…

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Q: (a) tive of f(r) = r at z = a. Find the value of a given that lim, 8+h)* – 64 represents the deriva-…

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Q: Let f and g be functions such that f(0) = 18, f '(0) = 3, f(18) = 11, f '(18) = - 5 and g(11) = -…

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Q: (A) A = -2, B = -8 (D) A = 8, B = 2 f(x) = Let f: RR be the function defined by Ax³ + Bx+2 Br² - A…

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Q: 9. f(x)=T √√5x²

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Q: The figure is the graph of the derivative, ƒ', of a function f on [-3,3]. ครั้งที่ Determine the…

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Q: Find an equation for f(x) using the tangent function. f(x) = f(x) 12- 10 8. 6. 4 2 X 3 2 6. 6 3 6 -8…

A: The given graph is:   To find the equation for f(x).

Q: Consider the function g (x) = x5 , on the restricted domain [-8, 8]. Which of the following…

A: gx=x23The interval is -8, 8

Q: 2. Using the graph of f(x) provided, create a sign chart for f'(x).

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Q: Given the graph of a function f(x), sketch the graph of the derivative on the axes below: f(x)

A: Given: The graph of the function f(x) is given. To find: The graph of the derivative function:…

Q: If f(x) = 6x²e*, then what is the derivative of f(x) with respect to x? 6xex O 12xe* О бхе"(x + 1) O…

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Q: A function and its graph are given. (x) = x + 2x2 - 12x – 20 60 40 20 -8 -6 -4 -2 6 -40- (a) From…

A: Answer

Q: Let f(x) and g(x) be functions whose graphs are shown below. Which of the following statements…

A: We are asked about the derivative of the function h given a graph of the functions f and g. Note…

Q: 1. Assume that the function f is a one-to-one function. (a) If f(2) = 5, find f-(5). Your answer is…

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Q: 1. Given the function f(x) = x³ - 3x² - 9x + 7, make a sign diagram for the first derivative and…

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Q: Suppose that f: R → R is a function with second derivative f"(x)=x•(x+ 1)³ · (x + 5)ª . Find…

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Q: Please check 4-5.

A: Given function is   1.  g(x)=8x3+84x2+288x     then   g'(x)=24x2+168x+2882.  g''(x)=48x+1683.…

Q: 1. Use the Power Rule and properties of derivatives to find the derivative of each function a) f(x)…

A: Here we have to find the derivative by using power rule and the properties of the derivative.