How do I find the intervals for these two questions based on the graph? Where is g(x)>0?  Where is g'(x)> 0?

Q: In this post, you will use the first and second derivatives of a function (along with a few other…

A: We will  use relation between f(x) , f'(x) and f "(x) and asymptotes to find graph of f(x)

Q: If f(x) = f'(x) = 7-2² 8 + x² " > Next Question find:

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Q: A table of values for f, g, f, and g' is given. F(x) g(x) g(x) X -8 -7 -6 -8 -2 -7 -7 (a) If h(x) =…

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Q: · ƒ' (5) = 0, ƒ' (x) 0 when x > 5, ƒ" (2) = 0, ƒ” (8) = 0, f″ (x) 8, ƒ" (x) > 0 for 2 < x < 8, lim…

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Q: The graph of the function f(x) is shown below. (a) Where is f(x) increasing? (b) Sketch f'(x). f(x)…

A: Given: The graph of function f  To find: (a)The interval where the function is increasing, (b)…

Q: Differentiate the function. g(x) = x2 - 5x + 19 g'(x) = %3D

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Q: The graph of f(x) is given on the grid. Graph f'(x), its derivative. 8 + 7 6 5 4 3 2 1 8 -7 -6 -5 -4…

A: f'(x) is same as slope of a line

Q: Sketch the graph of a function that satisfies all of the given conditions. (a) f'(x) < 0 and f"(x) <…

A: ?If f'(x)&lt;0 then slope of the tangent of any point on the curve is negative. ?If''(x)&lt;0 then…

Q: Let G=5f-g look at graph attached G’(1)=?

A: G(x) = 5f(x) -g(x)G'(x) = 5f'(x) - g'(x)

Q: Use the graph of f and g. p(x) = f(x)g(x) f(x) q(x) = g(x) y 12 10 8 6 2 -2 6 8 10 (a) Find p'(4).…

A: a) Given that p(x)=f(x)g(x)So, p'(x)=f'(x)g(x)+f(x)g'(x) [product rule]We plug…

Q: The graph of the DERIVATIVE, f'(x), is given. Which one of the following is true about the original…

A: Increasing and decreasing function

Q: The graph of y= {x) is compressed horizontally by a factor of reflected in the y-axis. What is the…

A: We have to find the equation of new function in terms of f(x).

Q: (a) Hey you. I'm here to remind you that this is the graph of the derivative. Not the original…

A: Let us assume a function f(x). For the function f(x), the rate of change of function is given by the…

Q: The graph of y =f'(x) is shown below. Give the smallest value of x where the graph of f(x) has a…

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Q: A) function is defined by f(x) = {²1₂ ² if x20 if x<0 Evaluate f(0), f(1)and f(2) and sketch the…

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Q: The graph of the derivative f'(x) is given below. Find all that apply 2 1 + x -2 2 -2

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Q: 3 Find the interval on which f(x) =x'e x- is increasing.

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Q: On the interval -2<x<-1/2, the graph of the curve f (x) = 2x° +3x2 - 12x - 7 is: %3D Support answer…

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Q: From the graph of f(x), determine the graph of f'(x). -6 -5 -4 -3 -2 -1 5 4 3 2 1 0 -1 -2 -3 -4 -5…

A: Graph of f(x) as shown in solution We have to find graph of f'(x)