-54 -3 -2 -2 This is the graph of the derivative f '(x). The function f(x) (whose graph you do not see) is concave down on the interval 3. 2. 3.

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: ☐ 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: (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: Graph the derivative of the function in Figure (B), omitting points where the derivative is not…

A: Here graph is given Equation of lines AB and CD can be found by general equation of line,…

Q: 1 Suppose that f is a function given as f(x) We will compute the derivative of 2x +3 follows. First,…

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Q: This is the graph of a function f (x). What is the value of /, f (x) dx ? (3, 1.5) 1- |(0, 0) 3 3 -3…

A: In this question given that a graph and first we find function f(x) and after we find the value of…

Q: b. f(x) = (x³ + 2x² + 4) (x 4 − 3) c. f(x) = = 3x²-6x+7 4x-1 d. f(x) = (4x³- 7x)7 -

A: To find the derivative of each of the following functions.

Q: = (x),! %D (b) Use part (a) to find the derivative of f(x). 4 (X)d – (4 + x)f (a) Compute the…

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Q: Use the graph of y = f(x) to sketch the graph of its derivative f(x). y 20 16 12 하 4 -5 -4 -3 -2 -1…

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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: The figure shows the graph of f. If F' = f and F(0) = 2, find F(b) for b = 1, 2, 3, 4, 5, 6. F(1) =…

A: The given figure

Q: 10. The graph of the function f is drawn below. (-4, 2)9 2 y = f(x) -3 -1 (y = 0) (-2, –2) (a)…

A: Graph of the function y=f(x) is given, we have to sketch the graph of y=-f(x-1)

Q: Let f be a function defined on the closed interval -4sxs4. The graph of f', the derivative of f, is…

A: Let's find.

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

A: Given : The graph of the function f(x). To find : On what interval(s) is the the value of the…

Q: Find the derivative of the function using Chain Rule. (2x-6)-¹ (x²+3) h(x)=

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Q: Sketch the graph of the derivative for function shown.

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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: Sketch the graph of the derivative for function shown.

A: Plot the derivative for -∞<x<0. The function f(x) is constant in the interval -∞<x<0 so…

Q: (a) Graph the IL f(x) = in the viewi (b) Using the g a rough ske Example 2. (c) Calculatef Compare w

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: