Suppose ry 1 and dy -2. Find dt dx when x = 1. dt %3D dx %3D dt

Q: 1. Suppose y = f(x) and that x is changing over time. How is dy/dt related to dx/dt?

A: Given that: y=f(x)

Q: If y = 2x3 + 5x and dx = 2, find dt dy Y when x = 4. dt dy - dt

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Q: dy 4. Let ry = 2 and dt dx when x = 1. dt Find

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Q: 4) Equation: 4x +9y² = 1 1 Given that dy/ dt =8, find dx / dt when (x,y)= 3 9

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Q: 2(y+1) dy t 2) 2(у + 1)4 dx x+1

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Q: find dx/dt at x = 3 if y = -5x^2-4 and dy/dt = -3. dx/dt =

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Q: If x^2 + y^2 = 25 and dx/dt = -2, then what is dy/dt when x =3 and y = -4

A: Given that  x2 + y2 = 25   .... (1) dx/dt = - 2 To find dy/dt when x =3, y = - 4

Q: If y=x^4−5 and dx/dt=−1, find dy/dt at x=−3.

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Q: 2. dy + ycotx = 1 dx

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Q: y = tx2 + tx dy Find dx dy dx + 2tx * dy Find dt dy dt II

A: Given that y=tx2+t4x We have to find dydx  and dydt dydx is the derivative of y with respect to x…

Q: If y = 3x dx + 4x and dt 2, find when x = 4. dt dy dt

A: y=3x3+4xdxdt=2,

Q: dy 3; find dt dx when x = 2. dt Related Rates: Given y = x³ – 2x and %3D

A: As we know that; The Power Law: ddxxn=nxn-1 From the given problem: y=x3-2x ; dydt=3 First, we have…

Q: Find dy/dt. y = tan x; dx/dt = 3, x =π/4

A: Consider the following function:        y=tanx finddydt when dxdt=3,x=π/4.

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

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Q: dy at x = 1 if y = 4x² + 1 and dt dx Find – 1. dt dy dt || ||

A: Solve the following derivative

Q: Differentiate. In x y= 11 y3D dx

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Q: dy x = 1 - t/5, y = 7t – 1;. dx dy dx

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Q: 6. If x = y3 - y and dy/dt = 5, then what is dx/dt when y = 2?

A: The given equation are x=y3-y,dydt=5  and y=2.

Q: Differentiate. Inx y= 3 dy dx

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Q: Inx Iny Imz dx dy dz

A: To evaluate the integral ∫1e ∫1e∫1eln x ln y ln z dx dy dz, rewrite the integral ∫1e ∫1eln y ln z dy…

Q: ,dz Find ifz = xy2 +x²y, y = ln x - dt

A: We are given : z=xy2+x2y and y=ln x⇒z=x(ln x)2+x2 ln x

Q: Find dy/dx by implicit differentiation. eX/y = 3x – y y' =

A: Differentiate wrt x

Q: LL y e* dz dx dy -Inx

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Q: and d^2y/dx^2 for

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Q: Inx Iny Inz dx dy dz

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Q: dt sin x cos t dx

A: Please the the explanation below..

Q: 5. dx/dt = (4+x)(y-x), dy/dt = (10-x)(y + x)

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Q: If x ^2+ y^2=100 and dy/dt= 4 , find dx/dt when y =6

A: Solving the problem by method of differentiation.

Q: Differentiate implicitly to find dx 2y? - xy + 3x = 4 dy dx

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

A: Our objective is to find derivative using implicit differentiation.

Q: Differentiate. In x y = dy dx

A: The quotient rule of differentiation is, ddxfxgx=gxddxfx-fxddxgxgx2. we have the differentiation…

Q: Integrate: IZ+x dx Cos(l+se)dt

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Q: Find dy/dx. x = 9/t, , y = Vte-t

A: topic - derivative

Q: Assume that 2x + 3y = 12 and dy/dt = -2. Find dx/dt.

A: Assume,

Q: Compute both dy/dx and d^2y/dx^2 if x^3 + y^3 = x.

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Q: dy Differentiate implicitly to find dx 5. 3 4 x'y +8x -3y +2 dy 口 dx

A: Given query is to find the derivative of the function using implicit differentiation.

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

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Q: dy = 3; find dt dx when x = 2. dt Related Rates: Given y = x³ – 2x and

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Q: Calculate cln 2 I = Ver – 1 dx thanks to the change of variable u Ver – 1. U = -

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Q: بال 20 S 3y م + dx dy

A: The double quintessential is maximum typically used to calculate the floor vicinity of a…

Q: 4.) Find dy/dx. Given: 5x - x'y' = 2y %3D 5.) Find dy/dx. Given: y? + 2xy² – 3x + 1 = 0 | 6.) Find…

A: 4. 5x-x2y3=2y5. y2+2xy2-3x+1=06.1x+1y=1

Q: Suppose xy=−4 and dy/dt=1. Find dx/dt when x=-1.

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Q: 9. dx/dt = −(x − y)(6 — x − y), dy/dt=x(4+y)

A: Given that, dxdt=-x-y6-x-ydydt=x4+y We have to determine all critical points of the system of…

Q: 4 cos x Let y = [, (2t + 1) (t + 8t)'/3 dt. Find dy/dx.

A: We will find out the required derivative for given function.

Q: Find dy/dx: rsinx 1. у %3D Sm* 3t2 dt

A: I am attaching image so that you understand each and every step.

Q: dy dx at x = dt Find 2 if y = – 5x² + 5 and = 1. - dt dx dt

A: Here we use the derivative formula. find dy/dx  there after we will use chain rule -. dy/dx =…

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

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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: dy/dx at the same point (1,0) is

A: Given: The equation is y = ln ( x2 + y2 ) and the point (1 , 0).

Q: If x^2+y^2=25 and dx/dt=6, find dy/dt when y is positive and (a) x=0: x=1 x=4

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