(a) / 1 dx, 1- x2

Q: dy/dx of x + y + xỵ = 3

A:

Q: Find tan-1 x2 -dx using integration by parts.

A: Integral by parts

Q: r3 V9-x² »6-x-y dz dy dx in the order dz dx dy 0,

A: Given triple integral is ∫03∫09-x2∫06-x-ydzdydx

Q: find dy/dx : y =3√tan3xx2

A:

Q: d [ sin(x)cos(x) dx dx 1+x4

A: Find the integral

Q: Find dy/dx for (x+y)3=x3+y3,at the point  (-1,1)

A:

Q: Find

A:

Q: dy y = In 1-х2 dx 1+ x2

A: To find: The derivative of y=ln1-x21+x2. Concept used: Chain rule of derivative: fgx'=f'gx·g'x The…

Q: d²y nd by implicit differentiation if 3x² – 7y? = 14. dx?

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Q: find dy/dx. y = -10x + 3 cos x

A:

Q: find dy/dx if y = sin-1(1/x)

A: Here given as

Q: Find - by implicit differentiation. dx = y² + 2 x + y dy dx

A: differentiate wrt x

Q: Sx-3) (sin (In x) + cos (In x)} dx equals

A: Here we have to evaluate I=∫(x-3)sin-1lnx+cos-1lnxdx

Q: Sdz dx dy=1 dz dy dx=24

A: Given  a) ∫01∫12∫23dzdxdyb) ∫01∫x2x∫0xydzdydx

Q: 2 dx =

A:

Q: (1+x° 2) 늪(cot-1 () - d dx 1-x,

A: Solution:To find:ddx cot-1 1+x1-x=?Formula:ddxcot-1x=-11+x2ddxuv=vu'-uv'v2

Q: V sin2(x32 - 1) dx, with u x32 - 1

A: Consider the integral ∫(√x)sin2 (x3/2 - 1) dx.

Q: arctanx e dx (1+x²,"

A: The given problem is to evaluate the given integral. We have to evaluate by using substitution…

Q: Find the derivative. y = -18 Vx dy dx dy = 9x dx 6. dy dx 18 %3D O dx

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Q: c) Use trigonometric substitution to integrate dx 4-x2

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Q: dy/dx of y=(tan^-1 (x))^3x

A:

Q: Find dy/dx if y= cos-1 In(x+1)

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Q: Ssin (2x)cos(2r)dx

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: 1 dx (25 – x2)3/2 - Show My Work (Required) ?

A:

Q: Integrate: ∫ 3cos(2πx) dx

A: The given integral is ∫ 3cos2πxdx.

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: Use x = e to explain why dx (In x) = = -, for x> 0.

A: To differentiate x=ey, with respect to x, use the exponential function rule, ddxef(x)=ef(x)ddxf(x).…

Q: Find the indicated derivative. 1 - 2x2 x4 - 2x2 + 4 dy for y dx dy dx %3D

A: We will find dy/dx, using the form of             d/dx (u/v) .

Q: integrate (2 + x^2)/x^1/2 dx from 1 to 4

A: to find I=∫142+x2xdx

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

A:

Q: Find dy/dx at the given point 6x2-5y3=2x-5y at (0,1)

A: First differentiate the equation and then substitute the value of x as 0 and y as 1.

Q: dy/dx of y=cos^-1 (e^-3x)

A: Given y=cos-1e-3x

Q: Vi-ř dy dx dz 1/2 1-x

A:

Q: dy Y = tan2 1- dx

A: The equations of the form dydx-P(x)y=Q(x) can be solved by using integrating factor but for the…

Q: Find dy/dx when y=√x^2-x

A: y=x2-x

Q: Integrate dx/(x+1)(x^2+16) from 0 to 1

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

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Q: Find the indicated derivative. dy for y = 1- 2x2 x4 - 2x2 dx + 3 dy dx

A: Quotient rule: ddxuv=vddx(u)-uddx(v)v2

Q: Find dy/dx by implicit differentiation. tan-(2x3y) = x + 4xy2 %3D

A:

Q: Find the intergral of i. SVīdx ii. (x - 1)dx

A: According to Bartley guidelines I have, to solve only first question so repost the problem for…

Q: Find the indicated derivative. 1 - 2x2 x* — 2х2 + 6 dy for y : dx - dy %3D dx

A: Quotient rule of differentiation:…

Q: Find dy/dx for 3sin(x+y) - 2e^y =6x^3 by using implicit differentation

A:

Q: – (x²- 1) dx using P (1 -;*)-^;* / * m in terms of A?

A: Use simple integration formula.

Q: -2 dx 0 (3+x)² 2

A:

Q: 1 B3. Evaluate dx, using substitution method.

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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: (x+6)dx (x+2)?

A: To evaluate: ∫x+6(x+2)2dx