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: Show that ⊢ (x > 0) y = x + 1 (y > 1)

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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: Find f x) and f xof fCx) = 11x³

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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: Let/be differentiable for all x, lff(1) = - 2 and f'(x) 22 for all xe (1, 6), then find the range of…

A: f(1)=-2  f'(x)&gt;=2  for 1&lt;x&lt;6

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

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Q: f(x,y)=x^4+y^4-4xy Find all the endpoints of the function.

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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: If f and g are functions that satisfy f'(2) = 5 and g'(2) = -3, find h'(2) for h(x) = f(x) - g(x) a…

A: Take the derivative both sides and substitute the given valued.

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

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Q: Determine all the relative extrema of the following function S(x,y) =-x* +2x'y- 1 - 4y+12 APPLIED…

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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

Q: Identify the equation that defines y as a function of x (a) x+(y-1)² = 3 (b) x2-y 3xy (c) 3x+5y = 1…

A: (a) x + (y-1)^2 =3       this equation gives two value x (b) x2 - y2=3xy    it also give two values…