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

Q: d Using the Chain Rule Twice Calculate 1+ Vx2 + 1. dx

A: Given function is 1+x2+1

Q: Find d2y/dx2 implicitly in terms of x and y.

A: we have;  xy-1=2x+y2 ................................(1) differential equation with respect to x

Q: Differentiate the function. y = V 3x2 + 8x + 1 dy dx

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Q: Let y3 - 4x = 2xy. Find d2y/dx2. Show work please.

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Q: dy will be dx If y = (5x + 1)(2x-1 + In x), then

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Q: Determine dy for y=VX2+1 . dx2 alx

A: Obtain the second derivative as follows.

Q: 4 dx. x'V16-x (c) By using x= 4sin (0), find

A: We have to find integration by substitution

Q: 15) S 3x (x³-1)² dx

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Q: Find for all of : dx 1- y = xvInx x(x-2) x²+1 2- y =

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Q: Differentiate the function. y=(4x-4)° (3-x)? dy dx

A: Given query is to find the derivative of the expression.

Q: (d) Evaluate [(2xr² – 3x)dxusing formula develop in part (c)

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Q: 1+x dx V1-x

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Q: Differentiate the function. 71 y=(9-x) 0 dy | dx

A: We can solve this as follows:

Q: Differentiate implicitly to find dy/dx. - y2 = 16 x2 + y2

A: In order to solve this function firstly we need to differentiate it with respect to x on both sides…

Q: dy Exc: " of y = csch(Vx³ – x²)6 %3D - dx

A: Differential calculus is one of two main parts of calculus which is concerned with the study of…

Q: Evaluate. (Use C for the constant of integration.) x2 dx (1 – 25x²)3/2

A: Given,          ∫x21-25x232dx

Q: calculate d2y/dx2 when y=3/x

A:

Q: dy 5x+4 Use 4-step rule to find given that y dx 2х-3

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Q: 16- y? V16 - x2 x dx dy 2.

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: dy Find- , if y = 2x+9 dx x2- 5x+1

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Q: Integrate the function. y dy (25-y)3/2

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Q: Let ƒ(x) = x3 - 3x2 - 1, x>= 2. Find the value of dƒ -1/dx at the point x = -1 = ƒ(3).

A: We will need inverse function theorem. Statement of the theorem is:

Q: Find dy/dx if f(x) = csc (x³ + x + 1)

A: Derivative of the function

Q: dx V2x-x2 /2х-х2

A: Evaluate ∫42x-x2 dx

Q: What is the I.F of (2y^2+3x)dx+xydy=0?

A:

Q: Differentiate the function. y = (3x- 1)* (4 - x5) 3 dy dx II

A: To differentiate the given function:

Q: (y5 – x²e») dx dy -11-3

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Q: x'dx √√x(1-x)

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Q: dy 4x 29. dx 4x + %3D V16 - x2

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Q: Find dy/dx for f(x)=(Inx)x^2

A: Given:y=fx=lnxx2We need to find: dydx

Q: find the dy さ× when 3In X リ=(メ+z)m

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Q: Find the formula for df-1 /dx. f(x) = (1 – x)3 1 O A. 3x2/3 О В. 1-х1/3 Ос. -3(1- х)?

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Q: Differentiate the function. -2 y= [(3x2 +4x +5) (x – 4) < dy dx II

A: We can use the chain rule of derivative in order to solve the given problem.

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

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Q: Paragraph 12) S, dx Sx+7

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Q: dx メ+Vaxt) dx |-x2

A: Given

Q: What is the I.F of dy/dx = y - xy^3e^(-2x)?

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Q: 1 1+9g2 dæ| dxl

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Q: Differentiate the function. y = (2x-5)³ (5-x4) 4 dy dx

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Q: I3D Find y in terms of x. dy passing through (2,5). dx Vx² - 8x + 16

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Q: dy Find for x=secy dx A xsinx B D 1-x?

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Q: Q.a) S V9-4x2 dx sec?x secx tanx b) [sec²x dx sec2x+secx+3

A: We Trigonometry substitution method to solve these integration

Q: What is the I.F of (x^2y^3+2y)dx+(2x-2x^3y^2)dy=0?

A: Find the integrating factor

Q: Integrate dx/a^2+(x+b)^2

A: Take the substitution that x+b=t.

Q: dy -(3tan x)y = 1 dx 2.

A: Given that, The differential equation is following, dydx - (3tanx)y = 1 We have to solve the DE.

Q: Differentiate the function. y=[(sx +2x+3) (x-3)]² dy dx II

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Q: 4y2 dx = 9x2 dy when x = 4, y = -3

A: