A table of values for f, g, f', and g'is given. f(x) g(x) 3 2 x 1 2 3 ليا 1 7 8 2 (a) If h(x) = fg(x)), find h'(1). h'(1) = (b) If H(x) = g(f(x)), find H'(1). H(1) = f'(x) 4 in 5 7 g'(x) 6 7 9

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A: Here we have been given that f(x)=3x2+7x+2x-(i)Our Aim is to find f'(x) and f'(16)=?

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Q: • Find f" (3) for f (æ) = x³ – 2x4 + æ³ + 2x? – 7x + 3. showing the steps in your process. - -

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Q: Find the second derivative [ f"(x)] of the given function: f(x) = eln Vx²+2 %3D (x2 + 2)) x(x² + 2)-…

A: Given problem:- Find the second derivative [f''(x)] of the given function:   f(x) = eln√(x^2+2)

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Q: r 4-5x 3. f(x)=- ; f'(-1)

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Q: Given f (7) = 3, f' (7) = 7, g (7) = -1, and g' (7) = 9, find the values of the following. (a) (f9)'…

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Q: 7x2 + 6x + 2 If f(x) then: f'(x) = f'(2) =

A: The given function is f(x)=7x2+6x+2x

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Q: 2х + 2 If f(x) find: 7х + 3 f'(x) = f'(2) =

A:

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

A: Given function  f(x) = x2 - 1  and h(x) 1 - 4x Then A) (f + h)(x) = ? B) (f + h)(0) = ?

Q: point) If ƒ(5) = -3, g(5) = -4, f'(5) = -2, and g'(5) = -2, find the values of the following: %3D (f…

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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: Find the inverse function of y = (2x-1) (x-1) fx) = -1) 2x f(x) =2* fx) = (x+1) 2x (х-1) fx) = (x+1)…

A: Inverse of the function

Q: Suppose f(x), f'(x), g(x), and g'(x) have the values shown: -6 I -7 f(x) -9 f'(x) -1 g(x) 10 g'(x)…

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Q: If f(x)=(2/x+3) g(x)=(1/x) To Find (f o g)(x)

A: Given fx=2x+3    gx=1x

Q: 7x2 + 8x + 6 If f(x) then: f'(x) = f'(4) =

A:

Q: Suppose f(x), f'(x), g(x), and g'(x) have the values shown: -8 - 2 10 -9 -7 - 6 f(x) 3 -7 8 -9 -1 -9…

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Q: If f(x)=7x-3-4x-2-15x-20 then f'(1) will be; Select one: a. -15 b. 20 c. 28 d. -28

A: We will find first derivative and then substitute x=1 in it

Q: Find (f-1)'(9) if f(x)=x3+x-1

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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: 3x2 + 8x + 6 If f(x) = then: f'(x) = f'(2) =

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Q: 5 a. Find f'(x) and also f"(1) if f(x) =

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the derivate of the function: a) f(x) = x²(x²-8) F'(x) = 2 b) f(x) = (5x²³-7) (6x + 1) = 3 c)…

A: Since you have posted multiple question in this question so i have solved the first three subpart…

Q: 4x + 3 Find the inverse of f(x) 1 ƒ-'(x) =

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Q: 2x2 + 3x + 4 If f(x) : then: f'(x) = f'(3) = %3D

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Q: 5x +2 Q5. If f(x)=: 3x -x then find f'(2)

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Q: If f(x) = 4 2:2 find f'(4).

A:

Q: Find the derivate of the functions a) F(x) = (7x²-9) (2x + 7) f'(x) = b) f(x) = 8x² - 2 8x +3 f'(x)…

A: To find derivatives