Both x and ydenote functions of i that are related by the given equation. Use this equation and the given derivative information to find the specified derivative. Equation: x + 1ly = 2 dx = 4, find dt dy when x = 1. dt (a) Given that Enter the exact answer. dy dt dy :5, find dt dx - when x = 2. dt (b) Given that dx dt

Q: Find the 2nd and 3rd derivative of the function y'= 3x^2y^2 with respect to dy/dx

A: Find the 2nd and 3rd derivative of the function y'=3x2y2with respect to x

Q: Given: xe² + In(x - y) = . Find dy/dx. Given: y = (In x), find dy/dx. Find the derivative of f(x) =…

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Q: 1 The derivative dy for the function dx ба. [ 17 17 - ()" y : 17 dy b. [ The derivative for the…

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Q: Find dy/dx by implicit differentiation and simplify answer 3x^2 y^4 = 8y +1

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Q: Given that y is a function of x defined implicitly by the equation: siny = 4x + xy Find the first…

A: Given that y is a function of x defined implicitly by the equation  siny=4x+xy

Q: 1.x3 = at?, find the second derivative of "x" with ,d²x respect to "t", 'dt2

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Q: The velocity v and time t are related by the first order differential equation below. Find the…

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

Q: 3. Find the value(s) of k for which y = e satisfies the equation y+2y' = y" derivative) (note: y" is…

A: k = 1+2, 1-2explanation is given in below step

Q: 1. Find the derivative d/dx using implicit differentiation of the following functions. Show your…

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Q: 2. Given x³+ y3 = 6xy dy? a. Use Implicit differentiation to find ? dx b. Find the equation of the…

A: a)

Q: Both x and y denotefunctions of t that are related by the given equation. Use this equation and the…

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Q: Q.3 Find dx dy by theorem and also check the results by implicit differentiation if x- 1 2y +xy = 0

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Q: dy of the function dæ Find the derivative x* In 3y = y sin 3x + et.

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Q: Q5) find the derivative 1. x = sin and y = sin+ cos if taken together, satisfy the differential…

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Q: Given that y is a function of x defined implicitly by the equation: siny = 4x + xy dy Find the first…

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Q: Both x and y denote functions of t that are related by the given equation. Use this equation and the…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 9x2/3 dy = Need Help? Read It…

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Q: Both xand y denote functions of t that are related by the given equation. Use this equation and the…

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Q: Find the derivative of the given function.  y=x^2sin^8x+xcos^-3x

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Q: Both x and ydenote functions of t that are related by the given equation. Use this equation and the…

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Q: Find derivative /differential of each of the following functions by using the appropriate formula.…

A: y=x2 e2x  dy / dx  =?

Q: Given that y is a function of x defined implicitly by the equation: siny = 4x + xy Find the first…

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Q: Given a function ƒ that is differentiable on its domain, write andexplain the relationship between…

A: The differentiable function is f on the interval I which contains a point a. The linear…

Q: find a particular solution yp of the given equation. primes denote derivatives with respect to x.…

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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: Find the derivative of y=2ecos.x)(sin(5x)) d'y Calculate as a function of t if x=t-t and y=t-t 2 dx?…

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Q: 1 dy of y% = dt Use logarithmic differentiation to find the derivative, (t+5)(t+ 8)(t + 9) dy %3D dt

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Q: Find dy for the given values of x and Ax. 3 2 y = x° - 3x + 5; x = 1; Ax = - 0.1 What is the…

A: Given: y=x3-3x2+5 ; x=1; ∆x=-0.1

Q: Given the equation X^3+ Y^3 =28x Find the dy over dx using implicit differentiation

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Q: 1. find dy/dx of each equation using implicit differentiation. a. x2 - y2 = 9 b. 3x2 - y3 -3xy = 0

A: As we know that; The Power law; ddxxn=nxn-1 The Product rule; f·g'=f'·g+f·g'   Given: (a). x2-y2=9

Q: 1. Find the derivative of the following functions (dy/dx) at x=Tt/4 cos x2 1– sin x2 y= 2. Find the…

A: We have to find the derivatives of given function at x=π/4  1. y= cosx2/(1-sinx2) 2. y=x3sin3xcos3x

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = -2x - (sin(x))² dy= Need…

A: Using derivative

Q: 1. 2x'y² + 4yx² = 6. Find dy/dx at (1, 1) by i- %3D

A: Here we have, 2x3y2+4yx2=6 ................... (1)  Differentiate with respect to x

Q: Both x and y denote functions of t that are related by the given equation. Use this equation and the…

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Q: Can you help me step by step with this problem?

A: To compute the derivative of the function.

Q: Find the derivative d dy dy (3y?) = ay + by +c- dt dt dt

A: To find the derivative of the given function. And , find the value of constant in the equation.

Q: A tank contains 90 kilograms of salt and 1000 liters of water. Pure water enters the tank at a rate…

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Q: Find the differential dy of the given function. y = csc 3x Jax dy Need Help? Read It

A: dy = ? dx

Q: Find dy/dx, using implicit differentiation. e*y – y = 8 Implicit Differentiation: dx Compare your…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2√x + √x dy Read It Need…

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Q: Create a slope field at the given points for the differential equation dy dx y+1 x+1 Change the…

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Q: 1. Find dy/dx using chain rule and or implicit differentiation. a) In(xy) + 5x =30 b) (sinax +…

A: As per bartleby guidelines we only give first three question answers.

Q: Find the 1st and 2nd derivatives of the following profit function: =(xa-110)1/a that is, and find…

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Q: dw of w: dt x y Use the chain rule to find the derivative 1 with x cos t, y = sin t, z =- dw and…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 7x + (sin(x))² dy = Need…

A: The solution is :

Q: 1. Given dx [arccot u] = find the first derivative with respect to x of arccot v2x + 2. 1+u?

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Q: Find dy/dx, using implicit differentiation. y In(x) + y = 6 dy dx Compare your answer with the…

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Q: he differential equation by Frobenius me ents represented up to and including x3 dy + (x² +1)y=0 dx…

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Q: Can you help me step by step?

A: We use chain rule of differentiation which states that if f(x)=g(h(x)), then f'(x)=g'(h(x))h'(x)

Q: Suppose that x² + y² = 82. dy (1) Use the method of implicit differentiation to find dx dy dx (2)…

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