Find the differential of y=x^4-2x^2

Q: Find dy/dx by implicit differentiation   2x3 +x2y  -xy3  = 2

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Q: The deferential of point functions are exact differentials. Select one: True False

A: True

Q: exy -2x+24

A: Consider the equation

Q: Find the derivative of x/ex^2.

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Q: 1. у %3D х+/x

A: Topic = Derivative As per guidelines , At  a time only one question can be answered out of different…

Q: 5. Find the first derivative of y = (2x³ – 1)5Vx² – 1 %3D

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Q: Find the 3rd derivative of the function y=xsinx

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Q: Explain the derivatives and integration.

A: Solution: Derivatives: Definition of derivatives is , the rate of change of a quantity with respect…

Q: Find the derivative. y= In x+3 %3D

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Q: Find the third derivative of y = (6x - 1). Show your %3D in negative exponent.

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Q: Find  y''  by implicit differentiation. 4x2 + y2 = 4

A: Given,  4x2+y2=y,we have to find y''Differentiate with respect to x,we get…

Q: Use differentials to estimate the value. estimate =  exact value =

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Q: Find  y ″  by implicit differentiation. 2x3 − 5y3 = 5

A: We will differentiate w.r.t x twice using the product rule and the chain rule

Q: Explain the concept of differentiation and integration.

A: Differentiation and integration are the process of calculus in mathematics. In differentiation, we…

Q: Use negative differential to obtain an equation of tangent curves at a given point.

A: Solve the following

Q: find y' by implicit differentiation. ex/y=3x-2y

A: To find the derivative of the equation using implicit differentiation.

Q: use differentials to approximate the change in y if x changes from 25 to 25.3

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Q: Calculate the second derivative y : Vx - /y = 1

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Q: y = In (csc 2)

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Q: Find  y ″  by implicit differentiation. 4x3 − 5y3 = 8

A: First we find y' by differentiating  both sides of the given equation. Then find y"  by using the…

Q: 2 Find the derivative of: 9/x + 4x – 2 - - d 2 + 4x - - dx II

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Q: Find the derivative. 5х + 1 In 5x - 1 dx 5x +1 %3D dx 5x -1)

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Q: 3. = 2x-y х+3у

A: We will differentiate the given problem with respect to x.

Q: Which derivative rule is used to derive the Integration by Parts formula?

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Q: Determine the derivative of y. アミeV10x+5

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Q: Find dy ldx by Tmplicit differentiation. tanLx-y)=

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Q: ) Find the derivative of y = [7 cos5(5x – 8)(cos³V2x – 1)] %3D

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Q: Find anti derivative 3x^2(y^2+1)

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Q: The GoldPlus Company determines that the marginal cost for their Aiibe 64GB flash drive is given by…

A: One of the methods to solve a differential equation is by separating the variables and integrating…

Q: Find the derivative of the function. 2 + arcsin 5 () y = xV 36 - x² y' =

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Q: Use Leibnitz's Theorem to calculate the 4th derivative of y = x^sin (3x)

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Q: Find y''by implicit differentiation. 2x3 + 5y3 = 2

A: We can find y" using implicit differentiation as below.

Q: Determine the second derivative of 2x+ y-- 4 y 6.x (y + 2)--9(y+2) A B - 6x (y+ 2)-+ (y + 2) - 6x (y…

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Q: Find y" by implicit differentiation. 4x3 + 5y3 = 6 У" :

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Q: Find the anti-derivative of

A: Answer and explanation is given below

Q: FIND THE FIRST DERIVATIVE OF THE FUNCTION cos r. y = cosx О а. SIN3X O b. - COS3X О с. COS3X O d.…

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Q: Find y" by implicit differentiation. 4x3 + 3y3 = 4 %3D

A: Given: 4x3+3y3 = 4 To find: The value of y'' by Implicit differentiation.

Q: Find the derivative 4 y = In x +

A: It is given that- y=lnx+4x To find the derivative of y, use the addition rule, i.e.,…

Q: Find the derivative of y = csc(V3x² +1

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Q: Find the total differential.

A: w=3x+y4z-9y

Q: What do the differentials of x and y mean?

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Q: Compute the derivative ln(ex+1) / 2x+1

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Q: Use Leibnitz's Theorem to calculate the 4th derivative of y = x+sin(4x)

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Q: Use Delta method to find the derivative of e*

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Q: Find the 3rd derivative of the function y=exx.

A: Differentiating with respect to x, we get Again differentiating with respect to x, we get

Q: Find the 1st derivative of y= Arcsin x -v -V1-x²

A: To find the first derivative of y = sin-1x - 1-x2 sin y =x - 1-x2

Q: Find y'' by implicit differentiation 4x3+3y3=6

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Q: what is the second derivative of -y/x

A: Apply the quotient rule, If f=uv,thenddxf=vdudx-udvdxv2 If f=-yx, where y is the dependent variable,…

Q: Calculate the second and the third derivative of y = 5x- 9 y": y"

A: Using derivatives rule & formula.

Q: 1.Find the derivative of y = - arcsin %3D V4-x2

A: Given:        y=x4-x2-arcsinx2 differentiating on both sides     dydx=ddxx4-x2-arcsinx2…