x' -x'+ 3x = 5

Q: Find the 5th derivative of the function y=x2sin2x at x=0.

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Q: find nth derivative of y=x/(x+1)^4

A: To find the nth derivative of the function y=x(x+1)4=x+1-1(x+1)4=1(x+1)3-1(x+1)4

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

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Q: Find the differential equation characterizing the family of curves described tangents to ky = x^2

A: We need to find the differential equation characterizing the family of curves described tangents to…

Q: A company will sell N units of a product after spending $x thousand in advertising, as given by N =…

A: We are given that N=50x-x2, 5≤x≤25. Now, dN=50-2x dx. First, increase the advertising budget from…

Q: 5. Find the third derivative of the function : 3 (ans. : - 8y y=Vx

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: Solve for the differential of y when y= sinzx. x=-, and dx = - 3 2

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Q: Estimate ln(0.9) using a linear approximation

A: Given:ln(0.9)

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

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

Q: y = (Arccos 3x³)³

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Q: Find the anti-derivative of: S(3x* – 6x)° (2x³ – 1)dx

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Q: 13. Find the second derivative y “ of y = 5z2 +sinrcosz

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Q: 9 Derivative of fi») 1x 4 . 5. 1 f) 1x1cosx, fird f'n)

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Q: 3. Find the second derivative of y= xlnx

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Q: 3) Find the first derivative of y=(In x)"

A: According to our guideline 3 subparts of question or the first question can be answered and rest of…

Q: Find the derivative of the function. y = 3 x tanh-1 x + 3 In/1 - x2 y' =

A: Product Rule of Differentiation : d(u.v)dx = u.dvdx+dudx.v

Q: find th first derivative: x=2cos2 t/2

A: we need to find the first derivative of

Q: Find the differential equation of family of circles tangent to the x-axis.

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Q: 3x y = .3 х +3x

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Q: dx V9-x2

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: y = In (5x- 6x • 6), Hthe derivative, y' 2. 1S

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Q: 4. Compute the second derivative with respect to x of 3x³ + 8 y : at x = 1.

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Q: Find the differential of the given functions. 1. y= x-2x² + 5 5. у 3 1- -s2

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Q: Find the differential of y² + x = 4.

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the derivative of y: 1- y = (cos 0)V2 Cos O 2- y = 7sec ln 7 3- y = 2sin 3t

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Q: 7. Find the nth derivative of y = 1//x.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the differential equation of family of lines whose angle of inclination is 60 degrees.

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Q: 4. Find the first derivative of y = 170x tan (20x)+- In(49 – x 5e7-8cos

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

A: Given: y = (2x3 – 1)5√(x2 – 1)

Q: what is the differential coefficient of x.

A: To find differential coefficient of x we need to differentiate x with respect to x.

Q: Find the differential equation of a family of parabolas with axis parallel to the x-axis.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the differential of the function y=lntan2x at x=π/8.

A: Given: ,at x=π/8 Differentials are infinitely small quantities. Use the term for differentials as…

Q: Find the derivative of the function.

A: Given

Q: 3 +Ve³ .2 3x e: f(x) =

A:

Q: 16. What is the derivative of the function: * y = sin(6x² - 1) y = 12x cos(6x² - 1) y' = x cos(6x² -…

A: Solving the problem by finding the value of the derivative.

Q: 4x dx

A:

Q: 2) Obtain the differential equation of parabolas with vitex and focus on the x-axis

A: To find: the differential equation of parabolas on the x- axis.

Q: by

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Q: solve for Differential Equation y(x2+2)dx - (x2-x)dy = 0 when x= sqrt 3 and  y= 1/3

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Q: Compute the derivative for y= (e^-4x sin^2(x)) / (x^2 + 3x + 1)

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Q: From the differential equation by elimanating arbitary constants  y=ax3+bx2

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Q: Find the 2nd derivative of (y^2)+cosx 3y +1

A: This question is based on Derivative of equation.

Q: 2) Find the first derivative of y = sec1(2e3*)

A: To find the first derivative of the given function.

Q: 10.Anti-derivative of y(2y^2-3)^5

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Q: Find the differential equation of the family of circles with fixed radius and tangent to the x axis.

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Q: Solve for the first derivative of y = 3 sin x cos 3x

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