5. A function f satisfies f'(-5) = f'(5) = 0; f'(x) > O in the interval (-5,5) ; f'(x) < O in (-∞, -5) and (5, ∞); f"(x) > O in the intervals (-∞, -7), (-5, 3), (7, ∞); f"(x) < O in the intervals (-7, -5), (3, 7) Sketch a graph of f. 10 -10 10 -5 5.

Q: Let f(x) be a function with domain (-00, 3) U (3,00). Use the graph of f'(x) below to determine the…

A: Step 1:

Q: Property Interval f'(x) > 0 (-0,-2), (-2,0), (4, 6) f'(x) 0 f"(x) < 0 Asymptote at r = -2 and a = 2…

A: Given the properties of the function,  f'(x) &gt; 0  on intervals That means the graph of f(x) is…

Q: f(x)=-(x-1)2 use f'(x) to find decreasing interval

A: f(x)=-(x-1)2 = - (x2 - 2x + 1) = 2x - x2 - 1

Q: Compute f’(-2) using shortcut rules. f(x) = 5x + 9

A:

Q: Let f(x) be a function with domain (-00, 00) and f'(x) = the intervals where f is decreasing. OA B…

A:

Q: Sketch the grTaph of a function f that satisfies all of the given conditions (@) /(-1) = 4, f(1) =…

A:

Q: Find a function that is defined for all real numbers and has f'(x) that exists for all real numbers…

A:

Q: f(x) = { (1,-2), (3,-5), (4,0), (6,8)}f^-1(x) =

A: By interchanging the first and second coordinates of each ordered pair in f, we can define the…

Q: Assume that for a function f(x), f'(x) « O on the interval (-0, -5) and f'(x) » O on the interval…

A: From the given definition:  f ' (x) &lt; 0 when x &lt; -5 so graph must be decreasing in this…

Q: 5. Use the graph of ƒ '(x) shown and the fact that f(2) = 14 to find the value of f(12). f’(x) 8 3…

A: Notice that the graph of f'(x) on 2,8 is a upper semi circle with center (5,0) and radius 3.…

Q: On which interval(s) is the function g(x) = xª – 8x² + 5 concave down?

A:

Q: Suppose that f(-4)=3, f'(-4)=0, g(-4)=3, g'(-4) = 4. Use this to compute (f•g)'(-4)

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Q: Sketch the graph of a function that satisfies all the given conditions.

A: We have to sketch a graph satisfying the given condition.

Q: Select the graph of a function f that satisfies f' 0 on (-0, -1)U(-1, 0).

A: means f is decreasing for x&gt; - 1   means f(x) is concave up on both sides of x=-1

Q: 15. For f (x) = x ^ 3 -12x + 10 the interval where f (x) is concave downward is: A. (0, ) b. (-00,…

A:

Q: Given the graph of ƒ' (x) below, where the Dom f (x) = (-∞, ∞) . Find ALL interval(s) for which f""…

A:

Q: (4) Consider f(x) = x5 + xª + 1. (b) On what intervals is f(x) one to one? (c) Find a formula for…

A: (d) Consider a given function: fx=x5+x4+1 Let gx=f-1x. Find g'1.0488 when domain of f is restricted…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.