Find the derivative of f (x) = (ln(x))2

Q: If y = Vx? – 2x then y' 2(x-1) 3x2-2x %3D

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Q: () TC-3Q + 7Q+ 12 (ii) TR = 35 + 5Q - 2Q² + 20' (b) Find the first order and second order partial…

A: We Use basic formulae of Derivative for first and second order partial derivatives.

Q: (x-2)(dy/dx) – y =(x-2)3 solve homogenous equation by linear equation method

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Q: ' (x² +2)+4x(y² +2y+1)=0, y(0) =1.

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Q: Using the method of characteristics, find a solution to the partial derivative equation xux + uy = u…

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Q: 23.log(sin.r)

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Q: Show that the function f(t) = 1² – } is a solution of the dif- ferential equation (y')² – 4y = 2.

A: Given:       f(t)=t2−12.Differential equation is: (y')2−4y=2

Q: let h(y)=(y-3y2)5(y2+2)6  h'(y) in simplified form.

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Q: Find the first order partial derivatives of: (a) g(x1, x2) = (3x1 + 2x2) 5. Ans: f1=? f2=? (b)…

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Q: Find all the second partial derivatives. F(x,y) = sin2(mx + ny)

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Q: 2+ yety y' : 2у - хеху

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Q: xy Find all second order derivatives for r(x,y)= 4x +9y

A: The given function is

Q: Kindly find all the second partial derivatives of Z. Complete and detailed solution is needed. Z =…

A: Given equation is Z=xy3ln3xey and it is a function of two variables x and y. We have to calculate…

Q: Find all the second partial derivatives of the function a) f(x,y) = x* – 3x²y³. %3D | b) f(x,y) =…

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Q: Find all the first and second order partial derivatives of f(x, y) = −4 sin(2x + y) + 10 cos(x - y).…

A: Given:- fx,y=-4sin2x+y+10cosx-y

Q: Using the method of characteristics, find a solution to the partial derivative equation xux + uy = u…

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Q: Find y as a function of a if y(1) = -4, y'(1) = -9. y x²y" + 2xy' - 6y = 0,

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Q: 6. Use implicit differentiation to find first order partial derivatives: tan-(x²y) = y²z3 +…

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Q: 4) Demand for a model of SUV is given by the formula: √x D(x, y) = 45,000 10 (5y - 11)3/2 where x is…

A: Demand for a model of SUV is given by the formula, D(x,y)=45000-x2-10(5y-11)32 We have to find the…

Q: Please show me the partial derivatives for this homogenous equation and solve for GS/PS using Test…

A: Exact differential equation

Q: can you explain if this is true or false if y=x2+y2, then y'= 2x+2y

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Q: G(y) = (y − 1)4 / (y2 + 2y)7 Find G'(y) =

A: for a polynomial function of power n: Division rule of differentiation:         Chain rule :…

Q: f(x₁, x₂) = x₁ ln(x² + x² + 1), X = = (x₁, x₂) € R²,

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Q: Q2: (a) Use implicit differentiation to find out the partial derivatives ay/Əx1 and ay/ax2. F(x1,…

A: Function is the unique relation where each x is mapped to a unique y. It can be of many types:…

Q: Find y as a function of a if y" − 3y" − y + 3y = 0, y(0) = −9, y'(0) = −8, y'(0) = 7. y(x) =

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