The derivative of the given implicit function is x* In y+ y In x In xy 2-x In y- y x2 - y? In x- 2 y- y3- 2x²y In y x3 + 2xy2 In x - x %3D O M y-y-xy ln y y x2 - x+ xyIn x None of the above

Q: Find the first derivative: y = In V2x3-5 Oý = 203-5 O y = 4x2 203-5 3x2 O Ý = 23-5 O Ý = 6 52 y =…

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Q: 1. a) Find the successive derivatives of the following functions: (x' +80x²)* ii) Z (x* +10x +20) 21…

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Q: Q-1Find the derivatives of the functions 1- Y+In (xy) =1 2. Inxf 9.

A: Note:- Derivative of the product of two functions is ddx fx·gx  =f'x·gx+fx·g'x   Part (1):-  Given…

Q: Find the derivative of the following function. y = In(6x² – 7x) – 4x А) 18х? -7х x(6х* - 7) В) 1 - 4…

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Q: 2. Find the derivative of f'(x) if ƒ(x) = x*+3x-V x2+x

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Q: 1. Find the first line ONLY of the derivative showing the product rule. a) y = (- 2x¹ + 2x³ - 8)…

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Q: 3 (d) h (x) = 3x² – 4x2 + 2 | (e) ƒ (x) = x5 – xª + x³ – x² + x – 1 - | (f) ƒ (x) = x6+x5+x4 – a³ –…

A: Here we have to find  The derivative of the given functions d)…

Q: Find the first derivative: y = In V2r³ – 5 O y =: 22-5 O y = 4z 22-5 O y = 62 22-5 O y =; 2z-5 O y =…

A: Here we have to find the first derivative of         y = ln(2x3-5)1/3

Q: Compute the derivative of the following using product or quotient rules. oldetin nedi 1. g(x) =…

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Q: e +1 Differentiate the function f(x)= In 5x +1 Se+1 3ex+1 Sesz e3x +1 ,5x +1 e 3e3z Sesz e3x +1 5x…

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Q: Which of the following is the second derivative of f(x) = 2x - 6x2 + 5x - 9? Select one: a. f"(x) =…

A: We are given with the function and we have to find the second derivative for which we have to…

Q: Sketch a graph of the function f(x) = 2 sin(z) %3D 6+ 5 4 3 -6 -5 -4 -3 -2 -1 -- 6 7 -9 -8 -7 2 3 5…

A: How to solve: make a graph of sin(x) and then transform it one by one:

Q: f(x) = (4x² + 3x)² h(x) = 7 (4x³ - 6x²)³ b) d) g(x)=√10x² - 5x y = 1 3/(x ³√(x + + 5)²

A: We have to find out derivative for different functions.

Q: find derivative of y y= (3x²-3x+1)³/2 (3/2)(3x²-3x+1)¹/2 (6x-3) none of the above (3/2)(3x²-3x+1)¹/2…

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Q: Find an anti-derivative F(x) of f(x) = 7x³ – 6x² –- 1 satisfying that 7 F(1) = 4

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Q: A 9) Choose the correct inverse for the linear functions. f(x) = -4x- 1 O s(e) = = - O gle) =- %3D 4…

A: We have to find

Q: Recall the derivatives of some common functions, and complete the table below Function Derivative…

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Q: Please do 9 and 13

A: Use antiderivative formula for finding 9 and 13

Q: How will you differentiate an implicit function that can't be expressed in the form of y = f(x)?

A: For the differentiation of implicit function, we will differentiate each side of an equation with…