Find dy : (a) y = cos(1 Ix + 5x) dx

Q: find dy/dx in terms of x and y if arctane(x^3 y)=xy^3

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Q: dy dx ytsinx I+ CoS X

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Q: Find dy/dx for x*+siny = x'y

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Q: Use this equation to find dy/dx. 5y cos(x) = x2 + y2 %3D dy dx %3D

A: We have, Here, we'll take derivative on both side and then isolate the dy/dx.   It is known that,

Q: find dy/dx. y = -10x + 3 cos x

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Q: Estimate S, cos(4x)dx with Trapezoidal Rule. n = 10

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Q: dy Find for three only: dx 1) y = In(cos x . Inx²)

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Q: dy dx if y=Vsinx +sin Vx+ cos(2x)

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Q: find dy>dx.

A: y=cosxx+xcosx Differentiate the above function with respect to x.…

Q: Solve dy dy +y = 2sin(3x) dx? dx using the method of undetermined coefficient.

A: Given that,d2ydx2-dydx+y=2sin3x We need to find the solution of the given differential equation…

Q: Find dy/dx given that y = sin(cos(x))

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Q: dy Find for: dx y = 5x[cos"(5x] -ī - 25x2

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Q: d²y 1.) of y = sinInß and x = In(Inß) dx2

A: Topic = Derivative As per guidelines , At a time only one question can be answered out of different…

Q: dy - y In(ye cos *)dx = y cos x dx COS X

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Q: Find dy/dx by implic differatiation. c)sin(xy)=cos(x+y)

A: to find dydx of  sin(xy)=cos(x+y)

Q: dy Find for y = - 19x+3 cos x. dx dy

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Q: dy Find dx if y = cos (4x - 3x + 1) s*(4x²-3x + 1)

A: Given that, y=cos4(4x2-3x+1)

Q: y= sinh(2n)-글교 dy/dx gi

A: Derivative of sinx is cosx.

Q: dy/dx of y=(tan^-1 (x))^3x

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Q: dy Find dx S cos (P) at y = COS dy dx II

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Q: dy Find dx 1. (a) y= cos (sinx)

A: topic - derivative of a function

Q: Find dy/dx in terms of x and y if arctan (x^3)=xy^3?

A: To find the derivative of the given function.

Q: Find dy/dx in terms of t if x = te', y = -5t – 5e dy/dx = [

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Q: i. Je* cos(4x) dx

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Q: Find dy for y = ln dx ² cosx %3D sec x

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

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Q: cos(2y - x) = 3ysin x

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Q: dx y of y = cos 1 (In (xy)) Find %3D CoS dy

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Q: 3. у?dx— x(2х + Зу)dy %3D -

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Q: Find dy/dx for y = cos-1 x.

A: Given function is: y=cos-1x Then we get, x=cos y

Q: dy Y = tan2 1- dx

A: The equations of the form dydx-P(x)y=Q(x) can be solved by using integrating factor but for the…

Q: Find dy/dx when y=√x^2-x

A: y=x2-x

Q: dx/dy + sin'3 y/ cos'2 2x = 0

A: We are given : dxdy+sin3ycos22x=0⇒dxdy=-sin3ycos22x⇒cos22x dx=-sin3y dy Integrating both sides, we…

Q: dy -y In (yecos)dx 4. COS Y sin x dx

A: The detailed solution is given below Thank you

Q: - sin y, dz = cos x dx – cos y dy

A: Consider the given differential equation as, dydx=sinx-y

Q: Find dy/dx in terms of t if x = t- 2, y = 2 + 1t dy/dx= [

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Q: Find dy. y=tan-1(ex^10)   dy=(______) dx

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Q: g. cOS x Vsin x dx

A: Let sinx = t

Q: d²y if y = 5x cos x. dx? Find dy dx? ||

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Q: Solve dy dy + y = 2sin(3x) - dx? dx using the method of undetermined coefficient.

A: We solve the given differential equation by method of undetermined coefficients.

Q: Find dy/dx implicitly. exy + x2 - y2 = 10 dy dx

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Q: dy - sin x sin y dx = x² cos x siny dx

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Q: dy at x=0. dx If y = (3x² + 4x + 5)(e* – cos 2x), then find %3D -

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Q: Evaluate / e*cos(x)dx using integration by parts-

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Q: Find dy/dx implicitly. exy + x2 - y? = 11 |

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Q: gives – sin(y)ÿ = cos y = x, so implicit -1 - csc y = rentiatio dy dx

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Q: dy y(ln y- In a +1) %3D dx

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Q: dy Find dx at x=-3, given y= 3x²-2, at -2.

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: dy Find for y = - 12x + 5 cos x. dx dy %3D dx

A: We have to find derivative for given function.