Given the following table of values, find h'(0) if h(x) = −6x + f(x)g(x). 7 7 6 -4 -1 Provide your answer below: h'(0) = X f(x) g(x) f'(x) g'(x) 0 -1 1 3 -3 5 -4 5 -1 1 -7 -5 6 4 -7

Q: Let x + 2 f(x) x + 9 f-(- 9) =

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Q: If f(x) = 5 + 5T. Find f-'(- 5) =

A: The function fx=5+5x3 To find f-1-5

Q: Suppose g(x) = x²f(x) and it is known that f(2) = 5 and f'(2) = -2. Evaluate g'(2). g'(2) =

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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: 3x + 1 Consider the function f(x) Compute each of the following. Simplify your answer and use x - 3…

A: Given f(x)=-3x+1x-3

Q: Find f-1(x) for the function. х f(x) %3D x + 1 f-1(x) =

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Q: If f(x) − x3 - x, find f"'(x) and f (4)(x).

A: Given function is: fx=x3-x We have to find f'''x and f4x.

Q: Find f(x)

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Q: (f-1)'(3) given the following table of values. f(x) f'(x) 3 1

A: Given, Assume a nth order polynomial function. Substitute x=2 in the above expression.…

Q: Give the formula for f(n) (x) where f(x)= 1/(3x-1)

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Q: Suppose that f (x) = 8x² – 2x + 5. Evaluate each of the following: f'(9) = f'(-11) =

A: Given,            fx=8x2-2x+5

Q: 7x-2 , find f (x). Answer: (Correct to 3 decimal places) f'(x) = (-5 x + Let f(x) = %3D -4x-5 1)/(_…

A: fx=7x-2-4x-5 Now let y=7x-2-4x-5

Q: If f(x)=1+x /x, for which value of x does f(x)=5?

A: Given function f(x)=x+1x

Q: 60. Letf'(x) = (x- 10)(x + 2) (x - 1)(x +7). For what values of x is f(x) increasing?

A: Given function f'(x) is

Q: Let I + 4 f(x) x + 10 f-'(- 9) =

A: Given,          fx=x+4x+10

Q: f(x) = (3x² -2)5, find f '(x)

A: Here we have to differentiate the function.

Q: If f (x) = (2x + 1) (4x + 1), then: a. f (-2) = 21 8 Or b. f'(-2) -26 ९ c. f" (-2) = 16 or d. The…

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Q: If f(x) = (4x – 2)² - (3x² + 6)", find f'(4).

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