1. Find and d'y and simplify whenever possible- dx2 iven: x = t3 + 1, y= 4t2-4t

Q: If x? + y2 = 100 and dy/dt = 9, find dx/dt when y = 8. (Enter your answers as a comma-separated…

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Q: find dy /dx for Hhe followin FanX +Sin y %3D

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Q: If y = Vx(3 – x)², show that- dy (3-х) (3-4x) Find the x coordinates of %3D dx all points on y =…

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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 in following. )y=x' costx + xsin?x -2

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: If x2 + y? = 169 and dy/dt = 5, find dx/dt when y = 12. (Enter your answers as a comma-separated…

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Q: dy = 9 +y osx dx

A: Given

Q: If x = 2t2 +t+1 and y=8t3+3t? + 2 then dy at t = 1 is dx

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Q: Find the value(s) of dy/dx  at y=1 given that x2y + y2 = 5.

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Q: if y= T-x x sinx dy , find V1-x² dx

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

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Q: Find dy/dx in terms of t if x = te', y = 4t + 4e* dy/dx =

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Q: Find dy/dx in terms of a and y if aty – x- 2y- 2 = 0. dy %3D dx

A: It is implicit  derivative.

Q: If xy + sin y = x^2, dy/dx = ?

A: Find Your Solution below

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

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

Q: sin(x+y)=xy  what is dy/dx?

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Q: Get general equation of this DE: (1 + y^2)dx + (x^2y + y + 2xy)dy = 0

A: Solving the DE by seperation of variables

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

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

Q: (a) dy Given 4 sin 3x + 2exy = (2x + y)³, find dx'

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Q: dy Find for dx 4) y= sinxtanx

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Q: dy Find , if dx y = 3u – 2 and u = 2x² - 4. dy Preview dx

A: Topic = Derivative

Q: ay Differentiate implicitly to find x + y dy dx %3D

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Q: Find dy/dx in terms of x and y if arctan(x*y) = y“. dy dr

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Q: dy Find where dx y° sin(4æ) – 72° – y³ = 10 - dy dx

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Q: a dy Find given y = 4 In da

A: The given function,   y=4x lnx

Q: dy Find for y = cosx(1 + cscx) dx %3D

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Q: dy if y = vt' -e' and x = dx Determine In(6t)

A: dy/dx = [7/2 t^5/2 - e^t] [ln(6t)]^2/ t^2 [3ln (6t) -1]

Q: 1. Differentiate the following: а. у %— y = x²e2x, find dy/dx

A: Differentiate the following

Q: dy Differentiate implicitly to find dx 2x+7xy + 9y + 19y- 8 = 0 + dy %3D dx

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Q: Find when y = cos(sin 2x). ay dx dy dx

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

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Q: If y = (sin-' x)², show that (1 – 2*) dy dr? dy 2. dx

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Q: dy 1 dx sec?y

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Q: x +y-y° =5

A: The given equation is x2+y-y3=5 We have to find dydx=?

Q: dy 4. Find at (- 2,0), if 3x² +2x²y² +sin y=12+2y. dx

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find dx/dt. Uince x² + y^ = 225, then. 2x dx dt 2y.dy 24- ニ

A: Given that x2+y2=225 we have to find the value of dxdt.

Q: 8. Find dy/dx in terms of x and y using implicit differentiaton 5y 4 +x 2 = 9

A: Step for implicit differentiation: (1) Differentiate with respect to x (2) Collect all the…

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

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Q: tan y dy 1-tan2,

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Q: I. Find dy/dx in the following: 6. Y=sec² Inx

A: We are given: y=sec-1 lnx The derivative can be found as follows:

Q: Solve the differential equation listed below:

A: Separate the variables.

Q: If Xy+yd, find the value of dy 5- dx 2 at the point Coy-1)

A: Given problem is :

Q: use implicit differentation to find dy/dx and d2y/dx2 at the point (1,0) for the given function…

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

A: Given,          x2-4xy+y2=4

Q: Find dy/dx: 1. у%3D Jo = San* sec? t dt

A: A detailed solution is given below