If F(x) is a differentiable function with derivative F'(x)= Enx"-1 and F(0)=0, then F n=2 x2-x O 1-x x +1 O 1-x x2 O 1-x x²+x O 1-x х -2

Q: For the function f(x) = 4x- 3x +2x +6x +2, find f"(x), the third derivative of f, and f''"(x) = %3D

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Q: Given the equation x' = -4yf (x) + sin(y) + 1. Take the derivative for both sides of the equation…

A: Given equation is x3=-4yfx+siny+1 Product rule of differentiation states that: ddxuv=vddxu+uddxv…

Q: f(x) = |x| · : %3D Then f-l(x) = if x > 0, and f-l (x) = if x < 0.

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Q: Let f(x)=x+(1−x)^(1/2) Find the local maximum and minimum values of f using both the first and…

A: For local maxima or minima:The first derivative test is f'(x) = 0The second derivative test…

Q: Find the x-coordinates of all of the points on the graph of f (x) where the derivative equals 0.…

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Q: If ƒ is a differentiable function, find the derivative Y = ƒ(√x) fı x + √√ f(x). 1 ○ y = ƒl (√√x) +…

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Q: f(x)=-(x-1)2 use f'(x) to find decreasing interval

A: f(x)=-(x-1)2 = - (x2 - 2x + 1) = 2x - x2 - 1

Q: Let x +1 f(x) = x + 9

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Q: The function f(x) = x^2 is decrea sin g on (- ∞,0)  True or False

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Q: If f(x) = 6x²e*, then what is the derivative of f(x) with respect to x? 6xex O 12xe* О бхе"(x + 1) O…

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Q: Let f and g be the functions in the table below. g(x) 2 3 1 X 1 2 3 f(x) 3 1 2 (a) If F(x) =…

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Q: nd an example of a function f(x) such that the third derivative f"(x) is equal to 0 for all x, and…

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Q: a) y = -5x6 b) y = 6x2 c) f(x) = -7

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Q: Let f (x) = 5x4 + 3x3 + 3x2 + 5x + 5. Fill in the missing coefficients for the derivative of f:

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Q: 4. f(x) = 5. 6. (X M 2x + 1)³ (x²-2) 10 100 ln(x+3), f(x) = (x) = { 4x² - 1, sin(xy) = x² + y³ if x…

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Q: Let f(x) = x³ + 3x² - 24x + 25. (a) Use the definition of a derivative or the derivative rules to…

A: Given function is fx=x3+3x2−24x+25. a Differentiate fx=x3+3x2−24x+25 with respect to x…

Q: f(x) 9(2) where f(-3) = 7, f' (-3) = –9, 9(-3) = –2, and g'(-3) = 1. What is h' (-3)? Let h(x) Do…

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