The derivative of f(x) = 9z3 12 8. is %3D 3z f'(x) O f(r) – 9x?+ 12x 4 – 9r– 12x + 8e 7 O f(r) - 9x + 12x + 8e +8e" O f'(x) ) – 9x? – 12x 2 9x2 O f'(x) 8e Th

Q: 5x2 + 3x + 3 If f(x) then: f'(x) = f'(4) -

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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: -5x2 – 3 If f(x) = then f'(0) is 4х + 2 O - 3 О 13 O - 1/3 Оз

A: Solving the problem by obtaining the derivative.

Q: Find y'. y = (x² - 2x+2)(2x³ - x²+4) OA. 10x4 - 20x³ + 18x² + 4x-8 OB. 10x4 - 16x³ + 18x² + 4x-8 O…

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Q: Find ƒ(x) if ƒ'(x) = 3x² - 4x + 4 and ƒ( − 1) – – 4. ƒ(x)

A: F

Q: y=3x+4 / 2x+1 y`(0)=?

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Q: If f(x) = (x² +2) e², what is f'(x)?

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Q: f(x)=3x7-4I+ Find f'(x)

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Q: 3. Find f'(x) for f(x) = 3x-4 2x+3

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Q: 2. Determine f'(1) for the function f(x) = (8x – 6Vx5 + 3) (x² – 9x² +) -

A: A detailed solution is given below

Q: Let f(x) = √√4x² 4x² + 3x + 5

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Q: If 46 +3ƒ(x) + 5x²(ƒ(x))³ = 0 and ƒ(-1) = −2, find f'(-1). ƒ'(-1) =¯

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 3x + 6 If f(x) find: 2x +2 f'(x) = f'(3) =

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Q: f(x) = (-x³ – 2x)e*+2 f'(x) =?

A: Given: f ( x ) = - ( x3 + 2 x ) ex+2          To Find: f' ( x )

Q: 11 Find the derivative of f(x) = -15sinx + +3√√x-5. X

A: Given function:- fx=-15sinx+11x4+3x7-5

Q: If f(x) = X-2 %3D -, then f'(1) = %3D ,2 x+4

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Q: If 11 +3f(x) + 8x²(f(x))' = 0 and f(1) = -1, find f' (1). f'(1) =

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Q: f(x) then: f'(x) = f'(1) -

A: We are asked to find the derivatives of the function.

Q: 1. f(x² − 3x + 7) + (2x − 3) dx

A: In this question, we need to integrate the given function.

Q: Differentiate x4 - 4x + 3 - f(x) = Vx +1

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Q: if f(x) = 3x+4 over 4x+3 then f'(x)=?

A: Given: fx=3x+44x+3 To Find: f'x=?

Q: x 3y'''- x 2y'' + 2xy' - 2y = x3

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Q: Iff and g are functions that satisfy f(2) = 5 and g'(2) = -3, find h'(2) for h(x) = -4f(x) + 5g(x) -…

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Q: 3. Let f(x) = 4x3+ + 2vx-7. Find f'(x).

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Q: f(x) = 4sin (1-3x2) + xcosx-9, then f'(x) = -24xcos (1-3x2)+cosx-xsinx True O False

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Q: 1−xy)^−2dx+[y^2+x^2(1−xy)^−2]dy=0;y(2)=1

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Q: Let f(x) = -2x√√x + f'(x) = -8 x²√x

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Q: f"(2) 1. Find

A: Given f(x)=43x2-23x+1f'(x)=-23*ddx(x)+43*ddx1x2+ddx(1)        =-2*13+4(-2)x-33+0

Q: If f(x) = f'(x) = f'(1) = 6x + 2 7x + 2 find: 2 (7x + 2)² 28 (7x+2)³ X

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Q: (2/x+1)(x– 1) Find the f'(x) of the function f(x) = x+3

A: Given, f(x) = 2x+1x-1x+3 f(x) = 2x32-2x12+x-1x+3 We know that ddxxn = nxn-1  and quotient rule of…

Q: #12

A: The given integral is I=∫dxx(x2+1)2