dy Find for y= ln dx x+1 Vx- 2 |

Q: Solve dy/ dx = x^2 + x for y(1) = 3.

A: Given that dy/dx = x2 + x, where y(1) = 3.

Q: x²y+y°x=-2 .2. X.

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

A: From the given problem:   y2-xy+x2=3   Now differentiating with respect to x.…

Q: Find dy/dx y = ln(x3 + x)

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Q: e | Vĩ In x dx 1

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Q: Find dy/dx for: y= (sec x)/x

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Q: Find dy/dx for y=x(4x+3)1/3

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Q: Find dy/dx by implicit differentiation. √xy = x³y + 20 dy/dx =

A: Given equation is  √(xy)=x5y+20. We find dy/dx by implicit differentiation.

Q: Find dx/dy if y = x² + 1/x

A: To find dx/dy if y = x² + 1/x

Q: Find dy/dx by implicit differentiation. /xy = x³y + 73 dy/dx =

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Q: dy Find for 3(x2 + y²) ² = 100xy dx

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Q: Find dy/dx by implicit differentiation. xby5 = y = x dy/dx

A: Let's find.

Q: dy Find dx if y = x(log2(r-3x)) dy dx

A: Given, y=xlog2x3-3x5 To find dydx

Q: Find dy/dx for: y = x2 − sec x + 1

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Q: dy Find dx if y = x (log2(x* – 4x))° dy dx ||

A: Topic = Derivative

Q: Find dy/dx for y =x − 1/ex√(1-2x)

A: given: y=x-1ex1-2x it can be written as: y=e-xx-11-2x we have to calculate the value of dydx.

Q: Find dy/dx by implicit differentiation   √(x + y) =  1 + x2y 2

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Q: Find dy/dx by implicit differentiation: x^(3)+y^(3)+xy

A: We have to solve

Q: Find dy/dx by implicit differentiation. x^2/x+y= y2 + 4 y' =

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Q: Find dy/dx by implicit differentiation. x^2/x+y = y^2+7

A: Given

Q: Find dy/dx by implicit differentiation. √xy = x5y + 56 dy/dx = X

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Q: Find dy/dx for x2+xy+y3=1

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Q: Find dy/dx for f(x)=(Inx)x^2

A: Given:y=fx=lnxx2We need to find: dydx

Q: dy 1 dx x2—4 У 1 y = 1

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Q: Does dy/dx= y-2y/x for ln(2xy)=x

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Q: Find dy/dx by implicit differentiation. xy = x°y+ 49 dy/dx =

A: our objective is to find the derivative

Q: (3x* – 1) dx + x°dy = 0; when x = 1, y = 1

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Q: Solve dy (x + 1) + xy -x 0 dx

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Q: dy Find for dx 3) y = In(vx2 + 1+x) sin¯1x X.

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Q: Find dy for x5 + 2y* = 5y dx

A: Derivatives can be defined as rate of change of function with respect to an independent variable.…

Q: dy Q4: If y = tanh e3x find dx

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Q: find dy/dx    1. ln xy = e^(x+y)   2. tan y = e^x + ln x

A: 1. Given,

Q: find dy/dx ln xy = ex+y

A: We need to find the derivative of the given function.

Q: find dy y = ln (1 + x2)

A: The given function is y=ln1+x2. Obtain the differential as follows.

Q: Find for y = x(7x + 1) dx dy dx

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Q: dy/dx if y = ln x/x2

A: Given y=lnxx2

Q: A. Evaluate Inx dx. 2x B. Evaluate [(7x-10)dy dx. 0 x?

A: Note: Since you have posted multiple questions. We will solve the first question for you. If you…

Q: Find dy dx x +3 Sint de X-x

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Q: Find dy/dx by implicit differentiation. x3 + y6 = 60 dy/dx

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Q: dy dx  for y = 1 − 2x2 x4 − 2x2 + 6

A: We have to find dydx, where y=1-2x2x4-2x2+6.

Q: dy/dx 5 - y = In(x – Vx²+ 1)

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Q: dy _ (y² +4)ln x 5. х. dx In(y + 4)"

A: Find the general solution

Q: find dy/dx in terms of x and y if x ln y +y^6 =8 ln x.

A: x ln y + y6 =8 ln x

Q: 2x(y+ 1) dx – ydy = 0 when x = 0, y = -2

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Q: dy Find in terms of x and y if x In y + yo = 4 ln x. dx

A: Solution is written in below steps.

Q: Find dy/dx for ln(xy) + e2y - 5x = 30

A: Given: lnxy+e2y-5x=30

Q: Find dy/dx by implicit differentiation. √xy = x^5y+44

A: The given function is,xy=x5y+44

Q: Find dy/dx by implicit differentiation. = x + y dy/dx :

A: We have to find implicit differentiation.

Q: 1 = 1 xy (2x + v)3 = x

A: