Let h(x) = f(g(x)). If: f(3) = 0, f'(42) = –5, f'(3) = 4, g(3) = 42, & gʻ (3) = 0, then h'(3) =

Q: If F(x) = f(g(x)), where f(5) = 7, f '(5) = 2, f '(2) = 3, g(2) = 5, and g'(2) = 3, find F '(2). F…

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Q: f"(x) = 24x2 + 2x + 8, f(1) = 2, f'(1) = -2 f(x) =

A: given that f"x=24x2+2x+8, f(1)=2 and f'1=-2 find f(x)

Q: find the function f(x) if f'(x)=(2/1+x2)+(5/7)x5/7 and f(0)=2

A: Given, f'(x)=(2/(1+x2))+(5/7)x5/7

Q: If F(x) = f(g(x)), where f(-2) = 3, f '(-2) = 5, f '(-4) = 4, g(-4)= -2, and g'(-4)= 3, find F…

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Q: x-²²-3 ²-3, determine the x-value(s) where f(x) changes from concave up to concave down. f(x)= Ox=…

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Q: 2. Determine f'(1) for the function f(x) = (8x – 6Vx5 + 3) (x² – 9x² +) -

A: A detailed solution is given below

Q: ㅠ y = 2sinx and y = 0 from x = 4 ㅠ to x = .

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Q: If 69 + 5 f(x) + 2x²(f(x))³ = 0 and f(1) = -3, find f'(1). f'(1) =

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Q: Find g(1) if f (1) = 0, f'(1) = 2, and (fg)'(1) = 10.

A: The value of a function is obtained by substituting a value from its domain in the function…

Q: If f and g are functions that satisfy f'(2) = -3 and g'(2) = -1, find h'(2) for h(x) = -5f(x) +…

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Q: If F(x) = f(g(x)), where f(-2) = 8, f'(-2) = 4, f'(5) = 3, g(5) = -2, and g'(5) = 6, find F'(5).

A: Here given

Q: If f(x)=6x+3/7x+4 find f'(x) and f'(1)

A: The function is given by fx = 6x+37x+4 To evaluate: The expression of f'x and the value of f'1

Q: Let F(x) = f(f(æ)) and G(x) = (F(x))² . You also know that f(3) = 6, f(6) = 2, f'(6) = 5, f'(3) = 15…

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Q: If f is the function f (x) = + 4/x, then f' (4)

A: The function is  f(x)=4x+4x

Q: 6. If f(2) = 3,f'(2) = 5, g(2) = –1, and g'(2) = –4, find (f g)'(2).

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Q: Let f and g be functions that satisfy f'(2) = -6 and g'(2) = 9. Find h'(2) for each function h given…

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Q: if f(3)=4, g(3)=9, f'(3)=5, and g'(3)=6, find the following numbers: a. (fg)'(3)

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Q: If f(x) = 18z + 9, find f'( – 1).

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Q: Suppose that for two functions f & g, we know the following information:f(8) = 16f'(8) = 6f(3) =…

A: The given composition function is

Q: −

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Q: g(x)= 2f(x) +3, find g'(4) given that f'(4)=5.

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Q: If g(x)=2x−3, and h(x)=1−4x, find the following new functions,as well as any values indicated. A)…

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Q: If g(x)= ex, g(In7)=

A: Topic = Function

Q: Find h(x) if h'(x)= h(x): 5x (6-x²)² X and h(1) = -6.

A: NOTE: Refresh your page if you can't see any equations. . here we have take integration on both…

Q: 1-6 A function f is given on the interval [-7, 7] and ƒ is periodic with period 27. (a) Find the…

A: The Fourier series of a function fx over the interval -π,π with a period of 2π is…