Find dx d'y , if x=t-r and y=t-t.

Q: dy/dx of x + y + xỵ = 3

A:

Q: Find dy/dx and d-Y/ dx" of x = 2t" 3, y = 1. Give the equation of the tangent line at t = 2.

A: We have to solve

Q: Find dy/dx by implicit differentia exly = 7x – y y' =

A: Quotient Rule of differentiation : ddxuv = v.dudx -u.dvdxv2 dexdx=ex dxndx=n.xn-1

Q: Find dy/dx for (x+y)3=x3+y3,at the point  (-1,1)

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Q: Use Version 1 of the Chain Rule to Calculate dy/dx

A: To calculate the derivative of the given function using chain rule: y=3x2+7x10

Q: Find dy/dx when y=e2xtan2x

A: Given,

Q: find the Dx [y] by implicit differentiate of x3+5y3=2

A: Given :           x3 + 5y3 = 2   To find Dx[y] :

Q: Find dy far y= dx

A:

Q: Find dy/dx in terms of a and y if x?y – x - 4y – 10 = 0. dy dx

A: To find the derivative w.r.t x using implicit differentiation.

Q: Find dy/dx in terms of x and y if x8 + y? = V10. %3D dy dx ||

A:

Q: Differentiate implicitly to find dy/dx. - y2 = 16 x2 + y2

A: In order to solve this function firstly we need to differentiate it with respect to x on both sides…

Q: find dy / dx x (xーソ):メーy to

A:

Q: Find dy if y = (1 – æ*) * dx

A: The function is given by y =1-x314 To evaluate : The expression

Q: find dy/dx y= cotx^2

A: The chain rule of differentiation states that f(g(x)'=f'(g(x))g'(x). The ' denotes the derivative.…

Q: find dy/dx by implicit differentisation x2+y2=64

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

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Q: Find dy/dx for y = x*, x>0.

A:

Q: Find Dy/Dx given that y= x1-x

A: Given that y=x1-xwe have to find dydx

Q: Differentiate implicitly to find dy/dx. ²+ y² - y² = 29 dy dx 11

A: This question is based on implicit differentiation.

Q: If x3 + y3 = 2, find the value of at the point (1,1). dx?

A:

Q: Differentiate implicitly to find dy/dx. – y2 = 38 x2 + y2 dy = ? dx

A: Use the basic concept of the differentiation and simplify.

Q: Find dy/dx in terms of æ and y if V = 10,/ỹ. dy dr

A: The given function is:x5=10y

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 10x4/5   dy=?

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Q: Find dy/dx. x = 3√ t, y = 4 − t

A: Given- x=t3,y=4-t To find- dydx Concept used-  dydx=dydtdxdt

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

A:

Q: Find dy dx if x=- and y and %3D dx 1+t 1+t

A: Given: x=t1+t and y=t21+t.

Q: Find dy by dx when y is equal to 3x³-12x²+7x-19 divided by 4x

A: To find dydx when y=3x3-12x2+7x-194x. Solution: Power rule of differentiation states that:…

Q: Differentiate implicitly to find dy/dx. -y2 = 7 x2 + y2 %D .2 dy dx %3D

A: Given that, xx2+y2-y2=7

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

A: To determine:

Q: rc)

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Q: dy If y = 2cscx then equals to : dx

A:

Q: -6, find dy dx Given that y = ln

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Q: dy Differentiate implicitly to find dx 7xy + 1 = 0 dy %3D dx

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

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Q: Find dy/dx by implicit differeniation x2y+y2x =- 2

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Q: dy 1 dx sec?y

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

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Q: Differentiate. In x y = dy dx

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

Q: 1 tanx dy dx Ja 1+ y2 а

A:

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

A: topic - derivative

Q: Solve for dy when y = + 3x, x=2 and dx =0.5

A: The given problem is related to total differentiation.

Q: Find dy dx for sin(xy) + y³ = x² + 1 and use it to find the equation of the tangent line at the…

A: use differentiation for finding the equation of tangent line.

Q: Find the indicated derivative and simplify. 1 dy for y = 49x' (x7 +2) dx dy %3D - dx II

A:

Q: x' - 4xy + y = 4 %3D

A: Given,          x2-4xy+y2=4

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

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

Q: Find dy/dx if y=2 – x^2.

A: Given query is to find the derivative of the expression.

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…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.