Using the Chain Rule Find dy/dx for y = (x2 + 1)3

Q: d Using the Chain Rule Twice Calculate 1+ Vx2 + 1. dx

A: Given function is 1+x2+1

Q: dy by implicit differentiation. dx Find x?y3 - 12xy2 = 8 dy dx

A: The given equation is x2y3-12xy2=8. Find the value of dydx by implicit differential. Here we use the…

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

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Q: find dy/dx of each equation using implicit differentiation. a. y4 -2y2x2 + 3x2 = 0 b. (x + y)3 =…

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Q: cos (x² + y') = x - lg Find dy using implicit differentiation: 2. %3D dx

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Q: dy by implicit differentiation. dx Find y cos(x) = 4x2 + 5y2 dy dx

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Q: Q5) Use the Chain Rule to express dy /dx in terms of x and y: y = csc t and x = sec-1t

A: To find: The value of dydx in terms of x and y. Given information: y=csct,x=sec-1t

Q: Second derivatives Find d2y/dx2.

A: Given equation is x+y2=1. To find second derivatives d2ydx2. Solution: Power rule of differentiation…

Q: ind dy/dx using the rules for finding derivatives: (a) y = (6x^2-8)(3x^2-9

A: The given function is  y=6x2-8 3x2-9x+3 To find the derivative of the give function ,  y=6x2-8…

Q: Second derivatives Find d2y/dx2.

A: First derivative is the rate of change in y w.r.t x, and Second derivative is rate of change in dydx…

Q: dy by implicit differentiation: 2x 3x? y + y = 15 Find - dx

A: Take the derivative by concept of power derivative and chain rule of derivative.

Q: Li S cos(x)esin(x)-2y dxdy

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Q: Find e-ax dx } first integrating and then transforming result.

A: Here we find Laplace transform

Q: Find dy/dx by implicit differentiation. x^3 + y^3 + 9y - 5 = 0 dy/dx =

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Q: dw of w -+ dt X y H.W: Use the chain rule to find the derivative dw with x= cos 1, y = sin? t, z =-…

A: We differentiate the function with respect to t.

Q: . z=tan 2x dx From their derivatives find

A: Question is solved.

Q: dy by implicit differentiation if sec(xy) = 4y. dx %3D Find dy dx ||

A: We have to find out

Q: 2x dx by taking n = 4 1+ x Use trapezoidal Rule to evaluate

A: trapezoidal rule

Q: Find dy/dx by implicit differentiation. x = 2 In(y2 - 3), (0, 2) dy dx Find the slope of the graph…

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Q: Second derivatives Find d2y/dx2.

A: Given equation - sinx+x2y = 10x2y = 10-sinxy = 10-sinxx2Differentiating with respect to x - dydx =…

Q: Find dy/dx by implicit differentiation. x3 + y3 + 5y - 6 = 0 %3D dy/dx = %3D

A: given equation is -  x3+y3+5y-6=0

Q: By using chain rule Find dy/dx iff- u=-1, x=-1

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Q: Find dy/dx by implicit differentiation. (1/x^3) + (1/y^3) = 4 dy/dx =

A: Given function (1/x^3) + (1/y^3) = 4  We need to find dy/dx using  implicit differentiation

Q: find the dy/dx by implicit differentiation. 4. 5x-x^2y^3=2y 5. y^2+2xy^2-3x+1=0 6. xy+2y=x^2

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Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. x3 + y3…

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Q: (a) Find the derivative. = In(x) – In(x - 8) dy dx (b) Find the derivative. y = In X - 8 dy dx %3D

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Q: Solve by integrating factors found by inspection: y (x2 - y2 + 1)dx - x (x2 - y2 - 1) dy = 0

A: To solve: y(x2 - y2 + 1)dx - x(x2 - y2 - 1)dy = 0 ⇒yx2 dx- y3 dx+ y dx - x3dy +xy2dy +xdy = 0

Q: the chain rule - find dy/dx (derivative) of y= (4x11 + sin(5x))1/8

A: We have been given a composite and complex function, and we are required to find its derivative. In…

Q: (a) Evaluate xe* dx using substitution method. (b) Evaluate | 6xe* dx using integration by part…

A: We will find out the required value.

Q: dy Find dx by implicit differentiation: 5x²y+ 5y²x=- 3

A: Given,            5x2y + 5y2x = -3

Q: . Ssin's cosʻx dx COS COS

A: First we divide numerator and denominator by 26 and then use the formula sin(2x)=2sinx cosx  And…

Q: Use chain rule to find dy/dx for y=u^4/3 , u=x^2+8x+30

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Q: 2x dx by taking n = 4. 1+x Use trapezoidal Rule to evaluate

A: on solving this we get

Q: dy BY IMPLICIT DIFFERENTIATION: 9x dx 1. FIND %3D secy

A: We have to find dydx by implicit differentiation: 9x=sec y We know the formula of differentiation,…

Q: Find dy/dx in terms of x and y if arcsin (x2y)=xy2

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Q: What is the process for finding dy/dx when y is an implicit function of x? Illustrate with an…

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Q: dy by implicit differentiation if x° + 5x tany = e. %3D Find dx dy dx

A: In implicit differentiation, we need to differentiate each side of the given equation with two…

Q: dy Use an appropriate technique to find dx from x² + y² = (2x² + 2y² -x)*.

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Q: B: Use the Chain Rule to find the derivative of f(x,y) = xy with respect to (t) along the path y =…

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Q: Find (dy/dx) by implicit differentiation. x^2 y^3 - 4xy^2 = 3 (dy/dx) =

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Q: Use the chain rule to find dy/dx for th following (a) y= (3x^2 - 13)^3

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Q: dy by implicit differentiation. dx Find x°y – xy9 = 3 dy dx

A: Solution:

Q: sin(3z+z²) Find y' for y = (6 – 2*)3

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Q: Find dy/dx by implicit differentiation. x = 2 In(y2 - 63), (0, 8) dy dx Find the slope of the graph…

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Q: Find the value of dy/dx at the point (−2, 1) for the function which is defined implicitly by

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Q: Find  dy dx by implicit differentiation for the function. x2 + 3x2y2 + y2 = 6

A: Given  x2 + 3x2y2 + y2 = 6 We have to find dydx by implicit differentiation.

Q: Determine dy/dx for the equation 5x3+7xy- 3y5 = 9 .

A: To find the derivative (d y / d x).

Q: dy of xy +y-xy=15 using implicit differentiation. dx 3) Find dy at the point (2,3) dx Hence find

A: To find dy/dx using implicit differentiation.

Q: Using Separation Variable. 1.) dy/dx = (2-y)^2 / 2(1+x)^1/2

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