Given the values of f(x), g(x), f'(x) and g'(x) in the table, answer the following questions. x f(x) f'(x) g(x) g'(x) 14 3 -27 26 2 09 38 1 4 5 48 1 3 4 57 -1 2 4 (for example f(4) = 8 and dx at x = 3 dx (f(x)) =3 at x = 1

Q: Consider the function f (x) = 6x² + 4x + 2. Find F(x) so that F' (x) = f(x). %3|

A: f(x)=6x2+4x+2To find: F(x) such that F'(x)=f(x)

Q: 3x² Find f'(x) given that f(x) = Vx² + 2x -1

A: Given: f(x)=3x2x2+2x−1f'(x)=? Let, y=3x2x2+2x−1dydx=?

Q: Use the given information to find f '(9). f(x) = 3g(x) + h(x) g(9) = -4 and g'(9) = -1 h(9) = -5 and…

A: Given: fx=3gx+hx.We need to find f'9.

Q: Differentiate the following function. f(x) = (x+2) e-6x +1 f'(x) = (Type your answer in factored…

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Q: Given the following table of values: x f(x) f'(x)| 2 -1 -2 5 4 4 x? – 2x – 1 - A. If g(x) then g'…

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Q: Given the values f(6)=-1, f'(6)=3, g(2)=6, g(2)=5,cfind the value of F(2) based on the function…

A: Given f(6)=-1  f'(6)=3g(2)=6g'(2)=5and    F(x)=f(g(x))

Q: 2. Given f(x)=x-6, determine whether f'(6) exists.

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Q: Let g(x) = x³ – 2x + 6. Find f(x) so that f'(x) = g'(x) and f(1) = 2. NOTE: Enter the exact answer.…

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Q: The function f is defined by ƒ (x) = -2x³ – x – 5 and f(-1) = -2. If g(x) = f¯1(x), what is the…

A: Given fx=-2x3-x-5f-1=-2Therefore, f-1-2=-1Differentiate with xf'(x)=-6x2-1f'-1=-7

Q: 2 If f'(x) = 3x2 - and X f(1) = 0, find f (x)

A:

Q: Verify that f′(x) = g′(x) and explain the relationship between f and g

A: fx=3xx+2f'x=ddx3xx+2=x+2(3)-(3x)(1)x+22=3x+6-3xx+22=6x+22

Q: In f(x) dx = F(x). F(x) is called the

A: follow the procedure given below.

Q: Use the following information to determine an equation for f(x): f"(x)= 6, f '(0) = 4, and f(0) =-5.

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Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

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Q: Question 14 (2) + h(x)]dr 8 1.5 -2/6 -7 -6 Blank 1:

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Q: If f(x) = x' – 8x + 2, find f (-4).

A: We have,  fx=x3-8x+2           ⋯⋯1

Q: If f be the function defined by f (x) = x³ + x. lf g (x) = f−¹ (x) and g (2) = 1, what is the value…

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Q: If f(x) + x²[f(x)]4 = 18 and f(1) = 2, find f'(1). f'(1) =

A: Given

Q: Find f(x) using the following information. f '(x) = 9x2 + 6x + 4 ,    f (2) = 50   f(x)=

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Q: need help with this problem

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Q: f(x) |f'(x) | g(x)| g'(x) -4 8 5 -3 10 4 00 3. 3.

A: