• The Range of f(x) = V1- x is 1. [-1, 0) 2. (-∞, 1] 3. (-0, 0) 4. [0, 0) %3D

Q: Find f such that f'(x) = 4x² + 3x-3 and f(0) = 9.

A: (1) f′(x)=4x2+3x−3f(x)=∫f′(x)dxf(x)=∫(4x2+3x−3)dxUsing the Power Rule∫xndx=xn+1n+1+C

Q: Give the value(s) of x at whichf has either a local minimum or a local maximum. Give the interval(s)…

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Q: The graph of f'(æ) is shown below. Where is f (x) decreasing? y =f '(x) 10

A: function problem

Q: 3. A function and its first 2 derivatives are given. x² - 4x (x+4)² f(x) = = (x+4)³ (3x - 4) f'(x)…

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Q: tet and gx)=H %3D X-) Find (9.f)(x) and ff) (f.3)(x)

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Q: Help Given f"(x) = 8x - 2 and f'(- 2) = - 2 and f( - 2) = 3. %3D %3D Find f'(x) = %3D and find f(3)

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Q: Substitute the values from step 2 appropriately into the linear approximation expression to estimate…

A: Recall the linear estimation model: y

Q: Describe the end behavior of each function. 7) f(x)= x -2x'+x-1 8) f(x)=-x² + 8x - 17

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Q: 4. y = In(8x – 3) (2x + 1)

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

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Q: 2a5 Given that f(x) = and values h(-1) =-3. h'(-1) = 7, find f(-1) AND f'(-1). h(x) %3D Show your…

A: f(x)=2x5h(x), and values h(-1)=-3, h'(-1)=7

Q: + If x? = x-y then, y *+y

A: Given  x2=x+yx-y first we multiply each side by x-y x2x-y=x+yx-yx-y     by dividing  x-y from x - y…

Q: f(x + Ax) - f(x) D. APPROXIMATE DERIVATIVES f (x) Ax 7.) y = x2 +7x – 10

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Q: df-1| For the function y = f(x) = x + 3x + 1, > 1.5, find dy (f-)'(3) = %3D

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Q: If point P (4,-3) is on f(x) and if g(x-2) = -3f(1-x) -5 , then determine the point P' on g(x).

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Q: Given f(z) 3D 1-홀 (7+ 3x) + 을(7+ 3x)2- (7+3x)" then f'(z) =. -을 + 꼴 (7+ 3z) -(7+3x)2+ | .... -글 +…

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Q: If F'(x) = f(x) and F(0) = 0, find F(b) for b = 3, 5, 7, and 9.

A: Given graph of f(x)

Q: r³ (x + 2) 6. Find f'(6) for f(x) = V (x + 3) Væ2 – 27 11 (a) 18 11 (b) 216 11

A: Some common derivative rules are, Also,

Q: Find the derivative of f(x) = x In(x) 1- In(x) O In(x) O1+ In(x) O In(x) /x

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Q: The function f(x)=(1/(x+1))+4 is decreasing on what interval(s)?

A: Consider the function  fx=1x+1+4

Q: Find ao of the function f(x) =(T - x)2 |3D | O 5 T^2/12 5 π^2/6 O T^2/12 TT^2/6

A: Fourier coefficient of the function

Q: 2x 5. F(x) = "(5t – 1) dt

A: Here, it is given that F(x)=∫x2x5t-1dt

Q: Consider the function below. x2 f(x) : x2 - 25

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Q: Write a function f(x) that has the given characteristics. R-5)-(7)%3D0; f(1) = 0; f'(x) O for x > 1…

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Q: 24. (EXERCISE) Consider the function f(x)=3x* – 20x' + 42x² – 36x

A: The given function,   f(x)=3x4-20x3+42x2-36x

Q: Let f(x) ƒ'(x) = ƒ'(3) = = √2x² + 4x + 3

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