dx dx +8. + 16x = (for t> 0). di dt 1+2

Q: Find an interval of definition for the equation x^2 dx/dt = 3x^3 t^2

A: Domain of definition is where X(t) is defined

Q: Solve dy/ dx = x^2 + x for y(1) = 3.

A: Given that dy/dx = x2 + x, where y(1) = 3.

Q: dy dx -3х а) +3y= 2xe3* b) t- +3x = 2t°, x(2) =1 dx dt

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Q: dy Differentiate implicitly to find dx xy2 x +y dx II

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Q: find dy/dx for the function ex+y+2x-3y=e using implicit differentation.

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Q: Evaluate dy/dx at (-3,1) for x3+(7+xy)5/2=82/3+y2

A: Given:

Q: Find dy/dx for y=x(4x+3)1/3

A:

Q: dy dx Find t3 de +1 ソニ 1-3x

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Q: Find the first and second derivatives. 6x5 y = - 7x+4 ex dy %3D dx dx II

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Q: dy Q2 Find dx of x = *-Y 2 x+y

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Q: Solve dy dy +y = 2sin(3x) dx? dx using the method of undetermined coefficient.

A: Given that,d2ydx2-dydx+y=2sin3x We need to find the solution of the given differential equation…

Q: Find dy/dx. x = t/(9+t), y = (9+t)^(1/2) dy/dx = ?

A: We have to use the parametric form of differentiation . In parametric form of differentiation , we…

Q: Find dy/dx for: y = x2 − sec x + 1

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Q: find dy/dx by implicit differentisation x2+y2=64

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Q: 8. dy dx || = 1 x+y+1

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Q: dy Find for: dx y = 5x[cos"(5x] -ī - 25x2

A:

Q: Find dy/dx for y =x − 1/ex√(1-2x)

A: given: y=x-1ex1-2x it can be written as: y=e-xx-11-2x we have to calculate the value of dydx.

Q: dx at x = dt dy Find - 5 if y = x² - 3 and = 4. dt

A: A detailed solution is given below

Q: (2х — Зу)dx + (2у — Зx)dy %3D 0

A:

Q: Find dy/dx. 8. хеУ 3D 2ху + уs

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Q: dy Find for dx 4) y= sinxtanx

A:

Q: find dy / dx by implicit differentiation.

A: We have use implicit differentiation in the following equation to find dydx. 2x3 + 3y3 = 64

Q: dy 4 sin 2x, y = 2, when x = 1/2 dx

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Q: Find dy/dx. x = t2, y = 3 – 6t dy dx ||

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Q: dy Find for dx 5) y = sec-(2e3x)

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Q: dy cos-1x Find for y = dx /1-x2

A: Given :   To find dy/dx:

Q: dy Find for y = dx dy dx 1 13

A: The required derivative is given below

Q: How would I do this question?

A:

Q: 2. f" S"(sinx + cosy) dx dy

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Find for y = x(7x + 1) dx dy dx

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Q: Q5. (A) Evaluate [- dx +4x+3 (B) Use integration by part to evaluate ſe* sin (e** )dx

A:

Q: A. Evaluate Inx dx. 2x B. Evaluate [(7x-10)dy dx. 0 x?

A: Note: Since you have posted multiple questions. We will solve the first question for you. If you…

Q: Find dy/dx by implicit differeniation x2y+y2x =- 2

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Q: Find dy/dx at the given point without first solving for y. xy2 = 27 at (3, 3) xp ||

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Q: dy Differentiate implicitly to find dx 3 7. 2 x'y +4x = 3y +2 54 3 dy dx

A: Given; x5y4+4x32=3y73+2 To Find: dydx using implicit differentiation

Q: dy/dx 5 - y = In(x – Vx²+ 1)

A:

Q: Solve dy dy + y = 2sin(3x) - dx? dx using the method of undetermined coefficient.

A: We solve the given differential equation by method of undetermined coefficients.

Q: dy Find for dx X 0 12+ 13t² dt.

A:

Q: Find dy/dx. x = 9/t, , y = Vte-t

A: topic - derivative

Q: Find dy/dx by implicit differentiation. 5x2 + y² = 25 dy/dx = %D

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Q: 18) fvī dx 19) f se'de 3e dx 20) (3x - V5x + 2) dx

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

Q: calculate the derivative.

A:

Q: 4 x dx Y 3- SSin X

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Q: dy Find dx at x=-3, given y= 3x²-2, at -2.

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Find dy/dx: rsinx 1. у %3D Sm* 3t2 dt

A: I am attaching image so that you understand each and every step.

Q: dy dx at x = dt Find 2 if y = – 5x² + 5 and = 1. - dt dx dt

A: Here we use the derivative formula. find dy/dx  there after we will use chain rule -. dy/dx =…

Q: Solve dy 2-x -subjectto y(1) = 0 dx ху

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Q: Find dy/dx at the given point without first solving for y. x2 — бу — 37 %3D0 at (1, -6) | dy dx

A: This question is based on derivative.

Q: Find dy when y = 3 1-x %3D dx V1+x

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.