The functionf is a continuous function with the following characteristics: f' (x) <0 on the interval (-oo, -3) U (-1, 1) U (1, oo) f' (x) > 0 on (-3, -1) f'(-3) = 0, f' (1) = 0, f' (-1) is undefined f" (x) <0 on the interval (1, 3) f" (2) > 0 on (-o, -1) U(-1, 1) U (3, ) 1) is undefined

Q: f'(c)=f(b)-f(a)/b-a .Use the Mean Value Theorem to find the number c for the function f(x)=x3-3x+2…

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Q: find the absolute extrema of the function f(x) = x^2 - 6x on the intervals [- 1,6], (3,7], (0, 6),…

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Q: Let x + 5 f(x) f-'( – 2) = Preview

A: We will find f^-1(x) first. Plug f(x)=y Then switch x and y Then solve for y. Put y=f^-1(x)

Q: Differentiate the function f(t) = t^3 − it^2 when t = 2

A: Here, f(t)=t3-it2⇒f'(t)=3t2-i(2t)⇒f'(t)=3t2-2ti

Q: (0,F) (L.F) (L+ F, 0) (L+F+ LF, 0) 2. The following is the graph of f'(x).

A: From the graph,when 0≤x≤L, f'x=F Therefore, f(x)=∫f'xdx=∫F dx=Fx+cc being an integrating constant…

Q: Suppose you know that the function f is decreasing and concave down on t interval [2, 7]. which of…

A: If the first derivative of a function is negative then the function is decreasing and vice versa.…

Q: Show the graph that satisfies all of the given conditions. Please explain your answer.  f'(-2) =…

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Q: Identify the plot below that represents a function f(x) that satisfies the following conditions:…

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Q: On which interval(s) is the function h(t) = (−t^3) + 3(t^2) + 24t − 11 decreasing?

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Q: Find the function f that satisfies f '(x) = 3x^2- 8x+ 2 and f(1) = 6.

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Q: Find f. f "(x) x2, x > 0, f(1) 0, f(9) 0 =

A: Given,

Q: let f(x)= X4+1 a find f'() + simplity

A: Givenf(x) = x4 + 1x2

Q: Find f. f "(x) = x-2, x > 0, f(1) = 0, f(7) = 0 f(x) =

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Q: Let f: ℝ → ℝ by f(x) = 1 + x^2 and g: ℝ → ℝ by g(x) = 2^x + 3, calculate the following: (f ○ g)(1)

A: The composition of f and g is defined as:

Q: Sketch a graph, f such that f(-2)=4, f(3)=-2, f'(-2)=0, f'(3)=0, f'(x)&gt;0 on (-infinity, 2) and…

A: Given that