y = x"^, x > 0 Inx-1 Inx Inx C. y'= 2lnx x' „Inx-1 D. y'= 2lnx x" „Inx-1 A. y'= x B. y'= 2 x'

Q: 3x4-4 cos x = -6

A: Find d2y/dx2 implicitly in terms of x and y3xy − 4 cos x = −6

Q: Simplify: x + 1 x - 1 x - 1 x + 1 x - 1 x + 1' x + 1 x - 1

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Q: Solve for y at x=2: (4x^3 - 6yx^2 + 2xy^2)dx + (2yx^2 - 2x^3)dy = 0; y(1)=4

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Q: y' = sqrt(x + y + 1)

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Q: x' -x? dxp x* +2x2 +1

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Q: Ex+ 8x3-72x?+4 三X'

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Q: Find f. f"(x)  =-2  +12 x -12 x2   , f(0)   = 4 ,f'(0)  =12

A: Given ,f''x=-2+12x-12x2f0=4f'0=12

Q: Determine y' of y = V4x+3

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Q: for

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Q: If y=x^9 -x^1/2, find (d^2y)/(dx^2)

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Q: 12 -9 X' 4

A: Given that, X' = AXwhere,A = 12-940 We know that the root (eigen value) of the matrix can be…

Q: Differentiate. y = In (4x² - 7x+9) y'=0

A: The function is The aim is to find the derivative of the function

Q: V(x) = (5x³ + 3)(x* – 2x) V'(x)

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Q: 2- Solution of the following function {(dy/dx)-(cotx) y=(csc x)y³ }

A: The differential equation is given as dydx-(cot x)y = (csc x)y31y3dydx-1y2cot x = csc x…

Q: calculate  d^2y/dx^2 for y=e^7-2x + 12

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Q: differentiate y = (x - 1)/(x + 1)

A: Given function: y=x-1x+1 Differentiate the above function w.r.t 'x' dydx=ddxx-1x+1

Q: find d/dx f^-1 (4) where f(x)=4+2x^3+sin((pi*x)/2) for -1

A: We have,.We have to find .

Q: find dy/dx of x^5y-xy^5=1

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Q: (4x^4+x^3(y)+y^4)dx+x^4dy=0, Solve for HOMOGENOUS DE

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Q: y'' + 4y' = sin^2 x

A: Given differential equation is: y''+4y'=sin2x Solution of differential equation is sum of…

Q: Let L= D^2(D^2-9).  Solve for Ly(t) = -2t(^2)*e^(3t) + e^-3t for t  is an element of (-inf,inf)

A: Given: L=D2D2-9 The given differential equation is Lyt=-2t2e3t+e-3t.

Q: Find y' for y= In (x/x^2+1)

A: Solution: The objective is to find the derivative of the given function