4) Among the following equations, the only differential equatiom degree is: dy = 5x + 3 dx A) d'y dy + 2 dx B) dx d'y * (sin.r)y 4- +(sin x)- + 5xy 0 C) dx dx d'v dy dx + 3y dx = 5.x dx D) 4 E)

Q: find dy/dx 10) ³(5x² + 2) y = Cos b) xy1=y 30) y=(cosx)*

A: Solve the integration

Q: differenetiate parametrically to find dy/dx in terms of t:  x=1/t+1 , y=2t^2-4

A: please use according to form i did solved two equation because your question is not write clear that…

Q: 1 y = V5 + cos I

A: We have to find dydx of the given function: y=15+cos x4 We know the formula of derivatives,…

Q: 3) у %3D 2u* + 1 x = 5u? – 5u -

A:

Q: -1 d(sin¬' u) du/dx |u| < 1 ² %3D dx Vi – u

A:

Q: Find y SX a) y = 3 sin (x² + 5x - 3) y' = c) y = sin" (6x) y'= b) xE5X+2 d) y = In (2x) Y₁ = Y y' =

A:

Q: Which of the following is not true? Select one: d [uv] = uu' + vd dx O d [uv] = u · + v • u' dx v -…

A: topic - derivative rules

Q: (xy^2- y^2+x-1)dx + (x^2y-2xy + x ^2+2y-2x+2)dy = 0 Start by using seperable equations.

A: given a differential equation,here need to solve this differential equation by seperation of the…

Q: Differentiate to find dy/dx a) y = xln(ex) b) y = csc2x1/2 c) y = x1/2 sin-1(pi x +2) d) exy+2 = ln…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: -x-1 a) y' = +2yi-1 v(0)=1

A:

Q: a)x^2 + y^3 =2xy^2 Give the function for dy /dx.   Give the equation of the tangent line at the…

A: our objective is to find the derivative and tangent line

Q: Q.2 Differentiate the function y = 2x - 3x + 4 2) y = xcosx 3) y (1 + x2)3 sinx 4) y = 5) y = tan x…

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Q: What is the equation of the line tangent to the curve e" + cos(x) = 1 at the point (6,0)? A y = x -…

A: Given, The equation of the curve ey+cosx = 1 We have to find the equation of the line tangent at the…

Q: 2.x²y+ 3xy? = 2x + 55

A: We will find the value of dy/dx and the equation of the tangent line at point (5,1) in the following…

Q: y = cos“ x, Find dy/dx O dy = - sin(x*) O dy = 4 cos3 x sin x dx O dy = - 4 cos x sin x dx O dy = -…

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Q: The function f(x) = |ax - b| + c|x| : x in (-∞, ol where Find the

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Q: 4) Find dy given: y (1-x)(1+ x )(1+ x³ )(1+x*) dx d'y given: y= (5x -3X7x+x) 5) Find dx

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Q: Rewrite the following equation with the variables separated. 3xy' + 2y = sin(y). dy (sin(y)+2y) O O…

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Q: B dy x/1-y2 dx 1+x2 II

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Q: 5) (secu) dx CA du = secu tanu dr

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Q: y = u²+1, uzt + 3t ) t=2x1 what's dy dx for x=1?

A: The given functions,.We have to find for .

Q: S. use "Exact Equation" method (cosxcosy + 2x)dx-(sinxsiny + 2y)dy = 0

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Q: y = + 2x2, find dx dy and dx2 d'y

A: The given function is: y=1x3+2x2⇒y=x-3+2x2 Differentiating it w.r.t x: dydx=ddx(x-3+2x2)…

Q: Solve the differenttal equat on 1y +dy_64=12x-50 Sin 2x dx? doe

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Q: 8) a) Find dy/dx if: e3x = x+y b) Differenctiate y = (sin r)"

A: We know that general derivative of d(xn)/dx is nxn-1. And derivative of d(sinx)/dx = cosx  d(lnx)/dx…

Q: x2 z = *1 - 2xy У

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Q: Find dy/dx: 2. (6+sec(πx^2))^2 I don't understand how to solve or explain, possibly in a way with…

A: To differentiate the given composite function (using chain rule)

Q: How did he get the second derivative step by step and a clear line please 3 F(x) = 1+e siny x Fex)…

A: Let fx=1+e-xsin 4x