Use the table of function values to evaluate f(x) at x = 1 dx 8(x) 1 f (x) f'(x) 2 -2 1 1 4 1 g(x) g'(x) 4 2 4 3 -5 -3 7 O A) O O B) -1/3 O C) 1/3 O D) 1/6 E) 1/36 45 3. 23

Q: # f(x) = (2 )2 what is f'(-2)7 If f(x) = 2-2х 2 2x+2 %3D

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Q: 3x-4 -,x < 1 x+2 4. Given the function f (x) = . Calculate f'(1-) and f'(1+). In?x x+1

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Q: Let F be the function defined by F(x) for F'(x). 5x 1,² = 1 √t² + 2t dt. Find an expression

A: Given: A function Fx=∫25x31t2+2tdt. To Find: An expression for F'x.

Q: 6 f(x) = 7 + find f'(x). Find f'(2).

A: As we know that: The sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 Given: fx=7+6x+2x2

Q: Let f(1) = 1, g(1) = -3,h(1) = 2, f'(1) = -1,g'(1) = 2, and h'(1 d f(x) g(x) dx h(x) Find when x =…

A: Please refer to the image below

Q: Differentiate. y' = || y = eP(p + p√p) X

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Q: 3 X 1 2 3 4 5 f'(x) 5 12 4 3 g'(x) 3 245 1 [3f(x) - 4x] x=3 =(Type an integer or a decimal.) www

A: We will find the required.

Q: A1) Using the definition of derivative, find the derivative of f(x) = x2 + 8x + 8.

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Q: 3x+1 Evaluate f'(-1) given that f(x) = %3D 2x+1

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Q: Suppose the derivative of f is f'(x) = (x + 1)*(x - 2)*(z- 3). On what interval is f increasing?…

A: A function f(x) is said to be increasing in an interval of it's derivative is positive in that…

Q: If f(x) = => (1- (sinx)?)" .Determine the value of f( %3D n=1

A: by using geometric progression

Q: Use the second derivative to determine f"(4) for the function f (æ) = x² In (x) 2ln(4) +2 3ln(4) +3…

A: Derivative of the function

Q: 2. Determine the exact value of f'(2) for f(x) = (2e³ + 3e-6x)5.4,

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Q: Find the intervals on which the function is increasing or decreasing where f'(x) = 4x³ – 4x.

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Q: Find f'(1) if Aæ) = (x² –-x²-x+1)(x² + 1). 1 O 2 O -3

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Q: Find f(2) if f (x) = e"

A: given equation f(x)=ex

Q: Suppose the function y = f(x) is defined by an equation x ln(y) + 2 = -4. Given that f(-2) = 1.…

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Q: For what values of x is fAx) = x' + 3x - 1 increasing? Explain.

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Q: If f(x) = 7x5 - 6e", find: ƒ'(x) = ƒ' (1) = ƒ''(x) = ƒ'' (1) =

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Q: Entered Answer Preview 42 - 3°(In(3) +1) 64255.3 2x Let f(x) = 4x2". Find f'(3). %3| f'(3) =…

A: This question is based on Derivative of function.

Q: Given f''(x) = 3x – 6 and f'(– 3) = – 2 and f( – 3) = - 1. Find f'(x) = and find f(4) =

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