Example 7.30. Using Hermita's intropolation, find the value of f(- 0.5) from the following data: : 1 0 1 1 f(x) : f'(x): 5 (Anna B Togh 2005) 73 1 3 7.

Q: fleth) - fG) For each function, find (a) flxth), (b) f(xth) -fx), and (c) flx) =

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Q: ☐ blue 18. On the graph below are f(x), f'(x), and ƒ"(x). Identify each function. Red -4 Purple Blue…

A: The degree of f(x) is one degree higher than f'(x)The degree of f'(x) is one degree higher than…

Q: 8. Sketch a graph of the function f(x) = by plugging in several values for x. 4

A: Graph If you have any problem let me know in comment box thankyou.

Q: Given the function: f(x) = (x² – 4)3. By using 1st derivative test with an interval table, determine…

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Q: Sketch the graph of f' given the graph of f below. YA W. 0

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Q: 1 65. Is the function given by G(x) = continuous бх + 8 at x = 2? Why or why not? 2.

A: To check the function G(x) = 1x2-6x+8 continuous at x = 2. G(x) = 1x2-6x+8

Q: Let the graph below represent f(x). For which values of x is f(x) increasing? 20 16- 12- -5-3-2 8+…

A: The graph of the function f'x is To evaluate: The values of x for which fx is increasing.

Q: x1 x2 x3 x4 x5 x6 (Note that this is a graph of f', not a graph of f.) At which of the marked values…

A: Solution

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: 5. (Refer to the graph of f below) For what value of x is the derivative off equal to zero? 2 -4 -3…

A: Consider the graph

Q: y

A: We have been given the graph of the derivative of a function.

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…

Q: The total number of Atlanta Braves shirts a small gift shop has sold during a calendar year is…

A: The total number of Atlanta Braves shirts a small gift shop has sold  during a calendar year is…

Q: Which of the following best describes the derivative of the function at a point?

A: The derivative of a function in calculus of variable standards the sensitivity to change the output…

Q: The table below gives values of f(x) = ex For the data above, evaluate f ' (1.0) and f '’(1.0) with…

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Q: Estimate f'(2.37) from the following data X f(x) Justify your method of choice. 2.36 2.37 2.38 2.39…

A: By Newtons forward method:At x=x1, dydx=1h[∆y1-12∆2y1+13∆3y1-14∆4y1]

Q: Consider the function f(x) x - 3 Compute each of the following. Simplify your answer and use exact…

A: fx=-x+5x-3

Q: find f(0), f'(0), g(1), g'(1), and (g o f)'(0)

A: The graphs of functions f and g are given belwo:

Q: (b) (c) yA

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Q: Number 29 on my test review I don't undertand.

A: The given functions are

Q: Based on the graph of the function below, where do the discontinuities of f(x) occur? x = 1, x = -1…

A: Given graph:-

Q: @ New fumction from old function:- Using the above function (y = [x]) to sketch the following…

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Q: Example: Below is the sketch of f'(x). Use this graph to state the intervals for which f(x) is…

A: It can be solved using derivative condition for increasing and decreasing function

Q: Suppose fis a function of x and that you know that f'(x) = 2x² – 15. Is f increasing, decreasing or…

A: Given problem:- Suppose f is a function of x and that you know that f'(x) = 2x2 - 15. Is f…

Q: 4. 3 -5 -3 -2 -1 -1 1 2 3 4 -2 -3 -4 -5 2.

A: