dx =- 1. dt dy at x = 2 if y = 4x° – 2 and dt %3D Find - dy dt

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A: Topic-derrivative

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Q: dy 5 if y = 2x² + 5 and dt dx Find at x 4. dt dx dt

A: Solving the problem by finding the value.

Q: dy sin 5x dx dx + e* dy = 0

A: First we integration both sides and solve it . Follow 2nd step.

Q: If x =t-1+5 and y 6+t-2 then dy at t = dx is

A: topic - derivatives answer is 4

Q: Find dy/dx for xy − ey = 2.

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Q: dy if y = sin-1 dx 6. Find dy %3D dx

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Q: 9. Sinte)e x(t² + 1)dt = x ,(t² + 1)dt S' 2* dx < S, xdx 10. dx = dx + dx 11.

A: 9.∫ln(e)0ln(e)ex(t2+1)dt=x∫0e(t2+1)dt10.∫012xdx≤∫01x dx11.∫131xdx=∫151xdx+∫531xdx

Q: dy y- dx ay

A: on solving this we get the

Q: dy dx 1+ey

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Q: find dy/dt. y = sin (cos (2t - 5))

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Q: Find dy/dx at the given point without first solving for y. x2 + 4xy + 23 = 0 at (1, −6)

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Q: y = 2 (x² – 3x) (a) Find dy/dt when x = 2, given that dx/dt = 4. dy/dt = (b) Find dx/dt when x = 9,…

A: First we will derivative with respect to t then find both value

Q: Find dy/dx at the given point for the equation. x= 4 In(y2 - 3), (0, 2) dy/dx =

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Q: y = cos s (2² + 7) dy Find dx dy dx

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Q: Solve: dy + y² = ty dt

A: A differential equation is said to be Bernoulli's equation if the equation is of the form…

Q: dy = 3. dt dx at x = 4 if y = - 2x² + 5 and dt Find dx dt

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Q: # 5) If y = x³ + 2x and dx/dt = 5, find dy/dt when x = 2. # 9) If a snowball melts so that its…

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Q: (b) x²e3 dx (d) arctan 4t dt

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Q: Find dy/dx for the following equation with implicit differientiation.   x2 + xy4 - 3y=35

A: Solution is given below..

Q: dy 4) Find dx when y² – x² + cos(x + y) = 0

A: As we know that the derivative of : ddx(xn)=nxn-1 ddx(cos(x))=-sin(x) ddx(f(g(x)))=f'(g(x))g'(x)

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Q: find dy/dx ln y = ey sin x

A: Given equation:

Q: Use Bernoulli's Equation dy/dx+ycotx=1

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Q: dy for the given equation. dx Find exy + xy = 4 dy dx II

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

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Q: dy 1; find dt dx at x =- dt Related Rates: Given y = cOs x + sin and 4

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

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Q: If y = √ 1+x3, calculate dy/dx. What is dy/dx x=2

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Q: find dy/dx if y=((t-1)/(t+1))^2 and x= (1/t^2)-1 at t=2

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Q: Find dy/dx. x = Vt y = 9-t %3D dy dx

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Q: Calculate dy/dx if x and y are related as below xe" – y=x 2

A: To determine:

Q: IF x = asec'0 and y = atan '0 dy Find at 0 dx 3

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Q: Find dx dy for the equation y =cosh (2x)tanh x3)+.

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Q: Find xer2 dy if dx = y sin x 1-

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Q: Find dy/dx at the given point without first solving for y. x2 + 2xy + 17 = 0 at (1, -9) dx

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Q: ery dx dy. 0.

A: ∫01∫01exydxdy Take ∫01exydxSubstitute u=yx=∫0yeuyduTake the constant out:…

Q: Find the indicated derivative. dy dt dy 11 for y=(2.5t-4t²) (2t+1.4)

A: Given that,   y=2.5t-4t22t+1.4

Q: dy Find dx 1/4 y = S sin (*)dt dy dx II

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Q: dy Find for dx X 0 12+ 13t² dt.

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Q: e'dy + (5t + ye')dt = 0.

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Q: ..... .. .... . Find dy/dx. x = VE y = 1-t dy dx

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Q: 3 Find dy for y= +3) dt dx

A: Given,

Q: Find dy/dx by differentiating xe²y + 7 = 4y² – 5ª implicitly.

A: Given: xe2y+7=4y2-5xDifferentiate both side with respect to x

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A: Given :   y = cos ( ln x)  now we find dy/dx

Q: Find dx x+3 given that y = dy dx

A: Given that , y=x+3x we have to find dydxx=5

Q: Find dx dy dy and dt' dt dx x = 9t – 9ln(t), y = 4t2 – 4t-2 dx dt dy dt dy dx

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Q: Find dy/dx at the given point without first solving for y x2 + 3xy + 11 = 0 at (1, –4) %3D dx II

A: Given: The curve is x2+3xy+11=0 and the point is  1,-4. The objective is to find dydx at the given…

Q: Let y tan(3x + 2). Find the differential dy when x = 4 and dæ 0.2 Find the differential dy when a =…

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