dy Find dx for the following functions (i) y = (3x° – 2x + 8)º - (ii) y = ecos(3x²+4x-2)

Q: find dy/dx in terms of x and y if arctane(x^3 y)=xy^3

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Q: FIND dy/dx FOR EACH FUNCTION. 1. y = (2x3 - x² + 6x + 1)3 2. y = 1/sin²x

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Q: Find P.S. of (16x+5y) dx + (3x+y) dy = 0 If the curre to pass thru the point (1,-³)

A: The given equation is: (16x+5y)dx+(3x+y)dy=0⇒(16x+5y)dx=-(3x+y)dy⇒dydx=-16x+5y3x+y⇒dydx=-16+5yx3+yx

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. y2 −3x3y4 =1

A: We have to find  dy/dx of curve equation  (implicitly).Curve equation is given by:

Q: 5. Find dy/dx (y - x)? = 2x + 4

A: Given: y-x2=2x+4 To find dydx. Solution: Power rule of differentiation states that: ddxxn=nxn-1…

Q: Find dy dx If y = 1- t² and x = 4+²

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Q: Determine the equation of one of the curves for dy/dx = 4x which passes through the point (2, 3).…

A: We need to find a curve for dydx=4x which passes through 2,3.

Q: find dy/dx : y =3√tan3xx2

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Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. y3 +2x2 y 5 =1

A: Product rule of differentiation:If f(x) is a function of u and v where both u and v are variables…

Q: H.w: find dy dx 1- y=-10x+3cosx

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Q: dy Find for the equation 2x - 4y' 1 using implicit differentiation. =D1 dx dy dx II

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Q: 1- find dy/dx as a function of x. y = 1³ – 4t

A: Note: According to bartleby we have to answer only question please upload the question separately.…

Q: (16x+5y)dx+(3x+y)dy=0, (the curve pass thru the point 1,-3) (3x^2-2xy 3y^2)dx=4xydy (3X^2 - 2Y^2)…

A: Since you have posted a question with multiple questions, we answered the first one for you. If you…

Q: Find dy/dx of the function. y=cot-1(4-3x2)

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Q: Find dy/dx given xy2 + x²y5 – x³ = 3 %3D -

A: Given that : xy2 + x2 y5 - x3  = 3. Find dy/dx . We know that d(xn)/dx = nxn-1.   Here i attached…

Q: Find P.S. of (16x +5y) dx + (3x+y) dy = 0 If the curre to pass thru the point (1,-3)

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: dy Q3) If y = In[sec 0 + tan 0) find- dx

A: To find dy/d(theta)

Q: dy Find for y = - 7x+5 cos x. dx

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

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Q: Get general equation of this DE: (1 + y^2)dx + (x^2y + y + 2xy)dy = 0

A: Solving the DE by seperation of variables

Q: dy 17. Find dx at the point (-2, 2) given that 2x- 5y = 3xy

A: Explanation and solutions is given below.....

Q: dy 3- Find dx for the following function: A- y = ecosv3x-1 B- y = x². secx

A: (a) Evaluate dydx of the given function as follows.…

Q: dy Find for dx 4) y= sinxtanx

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Q: Find dy/dx for y=cos^-1(x^1/2)

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Q: 1- find dy/dx as a function of x. 5 y = 13 – 4t

A: Dear Student, according to Bartleby guidelines, we can answer only first question. Therefore, we…

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. y3 +2x2 y 5=1

A: Differentiate the given equation with respect to x.

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. x 3− x4 y2 =-2

A: We have to find derivative of curve (implicitly).Curve equation is given by:

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. x4-3xy2=2

A: We have to find dy/dx of curve equation .Curve equation is given by:

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: tan dy| 2 Find dxlx=7 for the equation y = (Vx + 1) 2.

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Q: Find dy/dx given that y3 + y2 − 5y − x2 = −4

A: We have to find dydx for given equation, y3+y2-5y-x2=-4 We know the formula from power rule of…

Q: Find dy/dx of the function below. 2x³ + e^(2y) = cos3y

A: 2x3+e2y=cos(3y)Differentiate with respect to…

Q: d²y if y = 5x cos x. dx? Find dy dx? ||

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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: 1 tanx dy dx Ja 1+ y2 а

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

A: Quotient rule of differentiation:…

Q: find the PS of (16x+5y)dx +(3x+y)dy= 0. if the curve to pass thru the point (1,-3

A: 16x+5ydx+3x+ydy=0 -1equation 1 can be written as

Q: Suppose that y = 2(x² – 2æ)-5. dy Find dx dy dx II

A: For the solution follow the next step.

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. x3+y4=3

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Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. y3+2x2y5=1

A: The given equation is,

Q: dy い+ with dx y(-2) = 2 ニ - y x

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Q: use implicit differentation to find dy/dx and d2y/dx2 at the point (1,0) for the given function…

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Q: Find dy by dx Y= 1-x² ÷2-x

A: Given that: y=1-x2÷2-x

Q: dy Find of the following. dx 3t X = 1+t³ 3t² y 1+t3 t + -1 |

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Q: Find dy/dx by differentiating xe²y + 7 = 4y² – 5ª implicitly.

A: Given: xe2y+7=4y2-5xDifferentiate both side with respect to x

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 by implicit differentiation, given that x^2y-7y^8=-2 Your answer could involve both x…

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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: dy Find for y = - 12x + 5 cos x. dx dy %3D dx

A: We have to find derivative for given function.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.