(a) Find thẻ đéřivătivė. rivative. 1 y = In(x2 – 6) 3 dy dx (b) Find the derivative. 3 = INVX2 – 6 II

Q: dy 5. Use Implicit Differentiation to find dx a) 4xy + x² = 4 - Iny³

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Q: Find the differential of the function. Y = e2x

A: Given function is  y= e2x

Q: dy Find the derivative of the function æ' In 3y = y sin 3x + e. %3D

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Q: Find the differential d5y of the function y=sin2x.

A: To Determine: Find the 5th differential of the given function y = sin(2x)

Q: Find dy/dx by implicit differentiation: e^ysinx = x + xy

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Q: This differential equation is linear. What is the Q(x)? * Cosx dy t (y- cosx )dn = 0

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Q: (a) Show that the derivative solution of this function y = x** is dy = x(**+x=1) [1+ x ln x (In x +…

A: The given function y=xxx Note:    Multiple questions are given, we are answered with only one…

Q: A-The derivative is y = ln sin 0 cos 0 1+2ln 0

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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: Find the differential d8y of the function y=exsinx.

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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: Find dy/dx using implicit differentiation a. siny2+cosx2=1 b. y+x2+e3xy2=y2

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Q: 4. FIND d²y BY IMPLICIT DIFFERENTIATION: x² + y² = 81 %3D dx2

A: Given: x2+y2=81

Q: 10. Find the derivative of y = ln 4**+1) In 4 dy A) dx 2x dy 2x In 4 B) dx dy 2xIn 4 C) dx 4(*+1) dy…

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

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Q: dy Use implicit differentiation to find dx e + x² – y² = 10

A: Given implicit function is exy+x2-y2=10.

Q: 9. Find dy/dx by implicit differentiation of y? = In(x), at (e36,6).

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Q: 4 For the function y = 1 e - dy the second order derivative dx? is

A: Given that a function and find second derivative of this function (d2y/dx2). We know that d(xn)/dx =…

Q: (b) Find the differential for y = -5 %3D

A: Giveny=4x-53   ...(1)

Q: (5) Find the derivative dy/dx, where: 4 1 -1 y=- y = cosec(cot3x), y=Vsinh¯3x 3 1+ cos° x

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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: Q-1: find the derivative of y with respect to the given indepe 1. y = In(Inx) 2. y = In(In(Inx)) 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: 2x + 2y %3D 1. Use implicit differentiation to find dy/dx for ey

A: GIVEN ex2y =2x+2y

Q: Find  dy/dx by implicit differentiation. x2/x+y = y2 + 4

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Q: |e2* sin (3x) dx sinh (Vx) dx

A: We have to evaluate given integration.

Q: (a) Find thne derivative. y = In(4x – 6) – 3 In(x) dy dx

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

Q: find dy/dx by implicit differentiation y2 = 2e-1/x

A: We have to find dydx by implicit differentiation for the given equation: y2=2 e-1x We know formula…

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

A: Using derivative

Q: Can i get help step by step?

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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: 6. Let y + xy - y = 8x*. a) Find dy/dx using implicit differentiation. b) Find the equation of the…

A: In implicit differentiation, when we differentiate y, we use dy/dx

Q: Let y=(x to the 2nd power +3) to the 2nd power . Find the differential dy when x=4 and dx=0.2…

A: Given,    y=(x2+3)2

Q: dx What is where dy' x³ + y³ = 3xyusing implicit differentiation?

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Q: Find the differential dy of the given function Y=arctan(x-5) Dy=?

A: Use the standard derivative of inverse trigonometric function and chain rule.

Q: Find dy/dx by implicit differentiation: x3– 3x²y + 2xy² = 12 b. cos (x- y) = x а.

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Q: 10. Let y = In(x' + sin 3x). Find dy/dx.

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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 dy/dx by implicit differentiation. x4/3 + y4/3 = 1

A: Given that: x4/3+y4/3=1

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

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Q: find the differential dy of the function y=x2sin(8x)

A: Find the differential dy of the function y = x2 sin(8x) as follows.

Q: b) Use implicit differentiation to find dy/dx of y² : X-1 x+1

A: Using implicit differentiation & quotient rule.

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

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Q: of (xy + 3)5 = 2x – 2y³ + 19. dy Use implicit differentiation to find dx

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Q: Find dy/dx by implicit differentiation. y sin(x2) = x sin(y2)

A: y sin(x2) = x sin(y2) dy/dx = ?

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: A-The derivative is y = In Vsin 0 cos 0 1 + 2 ln 0

A: Let's find derivative of given  function.