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

Q: finf dy/dx by implicit differentiation when x^2=(3x+6y)/(3x-6y).

A: The given function is: x2=3x+6y3x-6y

Q: Use implicit differentiation to find dy/dx in x3 - xy + y3 = 1

A: We differentiate both sides with respect to x

Q: first derivative y= 4in Gty) is dy 4.

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Q: Find Dxy for y = sinh-'(x5)

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Q: Find dy / dx by implicit differentiation. xy + 5x + 5x2 = 2 dy / dx =

A: xy+5x+5x2=2

Q: Find  dy dx by implicit differentiation. tan−1(4x2y) = x + 5xy2

A: tan−1(4x2y) = x + 5xy2 We differentiate both sides with respect to x using the product rule and…

Q: Find the derivative. 2 - - dy dx - if y(x) = 1 x + 3 dy dx ||

A: This question is based on Chain rule diffrentiation. d/dx{f(x).g(x)} = g(x)d/dx{f(x)} +…

Q: Compute dy/dx for the function. y = sinh 2 8x O 2 sinh 8x cosh 8x O 2 cosh 8x 16 sinh 8x cosh 8x 16…

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Q: Integrate:  (5e^-3x - cos (6x))dx

A: Integrate

Q: 3. find dy/dx of y= sinh 2x

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Q: Find dy/dx if y2=x2+sinxy

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Q: solve for dy/dx :  arcsin (x/y) + arccos(y/x) = 5

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Q: Integrate SxIn x)dy

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Q: Use implicit differentiation to find dy/dx. In xy-y = 3

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Q: Find dy/dx if  y2= x2+sinxy

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Q: Sinh) esechct) dy

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Q: #11, find dy/dx by implicit differentiation

A: Differentiate question 11

Q: Bind dy, 4. Ssinx.cosx sinx-coSX 1 +2.Ln X

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Q: Find dy/dx for x⁴+siny=x³y²

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Q: Integrate  dy/dx sinx=1

A: We know, ddxcosec x = -cosec x·cot x ddxcot x=-cosec2x ddx(cosec x-cot x)=-cosec x·cot x + cosec2x…

Q: Find dy/dx by implicit differentiation. x²y³ -yax dy/dx =

A:

Q: - ((x3 + x)sech(In x)) = dx EX)-

A: To find  ddx(x3+x)(sech(ln x) We use product rule  d(uv)=udv+vdu Let  u=x3+x,     v=sech(ln…

Q: 5. 2x sinh+ 3y cosh2) dx -- 3x cosh dy = 0

A:

Q: 2 sinh 3x cosh 2y dx + 3 cosh 3x sinh 2y dy = 0

A: We know sinh xcosh x = tanh x ∫tanh ax dx = 1alncosh ax + C    (where C is constant of integration)

Q: find dy/dx by implicit differentiation.  1. xy + 2x + 3y = 1  2. x3 + 4xy - 3y^(4/3)=2x

A: Since there are two questions posted, we will answer the first question (1).If you want the second…

Q: 4. Use implicit differentiation to find dy when 3x? - 2y = xy dx

A: Given: The equation, 3x2-2y2=xy.

Q: Find dy/dx by implicit differentiation. 3 cos (9r) sin (2y) = 8 dy/dx =

A:

Q: Find dy/dx by implicit differentiation. 6,,3 x°y - y = x dy/dx

A: On implicit differentiation we differentiate both sides of the equation with respect to x . Then we…

Q: Integrate: ∫ 3cos(2πx) dx

A: The given integral is ∫ 3cos2πxdx.

Q: dx 2.

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Q: dy/dx of y=sec^-1 (5x)

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Q: Find dy/dx by implicit differentiation of 6x3+x2y-xy3=4

A: Product rule of differentiation:If f(x) is a function of u and v where both u and v are variables…

Q: Find dy/dx y=(7x-1)tan(2x^2-x+9)

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Q: Find a result by using homogenous for (x³ - 3x²y)dx-(x3³ - y³)dy = 0

A: This question is based on solution of Homogeneous differential equation.

Q: 2. Jx sinh x2 dx

A: ∫x sinh x2 dx

Q: 6) Calculate - dx for z = ln(x + y²).

A:

Q: Find dy/dx by implicit differentiation. 5x3 + x2y − xy3 = 2

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Q: find dy/dx by implicit differentiation yetan-1 x = 2

A: y·etan-1x=2

Q: 40 XY dy dx

A: In implicit differentiation, we differentiate both sides of the equation.

Q: Soru 1. (1+ 25)dx + 20* (1 - )dy = 0 ; -) dy = 0 ; + 2ey) dx y(0) = 1,

A: Given that:                           1+2exydx+2exy1-xydy=0    .........................(1)…

Q: dy Find by implicit differentiation. dx ху — ху" %3 8 -

A: Implicit differentiation: Differentiate both sides of an equation with two variables by considering…

Q: 2 S Sec'x In cotx) dx (

A: We will solve the problem.

Q: Integrate dy/dx=(1+x^2)/(-2x-x^3)

A:

Q: solve for dy/dx

A: Given that: d. y=coth2x-13e. arctan(y-2x)=x-2y

Q: Find dx if 2 siny dy 3 Log (y1)

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Q: Integrate: xー1 dx 2.

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Q: Find dy/dx at (-4,1) if xy=(8y/(x+2)). dy/dx at (-4,1) =?

A: Derivative of any function determines the rate of change of a function. It is represented as dydx if…

Q: Use implicit differentiation to find dy/dx. In xy-y'= 3 %3D

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Q: Find dy/dx by using implicit differentiation.  3x^2-4y^2+3y=5-2x

A: We have to find the derivative of the implicit function