dy x3 + 2xy. y 7. Find for the implicitly defined function dx

Q: Find the function of ( x +y )dy = (x - y )dx

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Q: x*y – xy³ = –2 ху

A: Consider: x4y-xy3=-2. Evaluate dydx. Apply implicit differentiation by derivating both side of…

Q: Find dy/dx for y = J_1P+4 t2 dt t2+4 X. 3

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Q: If f(x,y) = x3y + exy^2, find the derivatives of df/dx and d2f/dxdy.

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Q: Find the dy/dx: Given 2x x+1 y =

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Q: Find dy/dx in terms of t if x = t – t°, y = 2 + 9t

A: Given, Now differentiate with respect to t we get, dxdt=1-3t2dydt=9

Q: What is f P-(x)dx if the given DE is y(6y2 – x - 1)dx + 2xdy = 0?

A:

Q: Find dy/dx and d²y/dx2 for r = t2 +t +1 and y = t2 + 2t - 1.

A: given that x=t2+t+1 and y=t2+2t-1 we have to find dydx and d2ydx2 Now,          dydx=dydtdxdt…

Q: Q4) Find dy /dx for the following functions: a) e*y = x – y b) y = (cos x)Vx

A:

Q: Find dy/dx if : Y =x(x/a) + √ a2 - x2

A: Given: To Find:

Q: dy =2xy with y(2) = 1. dx Find a function y = f(x) that satisfies

A: To find a function y=f(x) that satisfies dy/dx=2xy with y(2)=1

Q: Find the function y(x) satisfying dy/dx = 6x-7 and y(8)=0 Y(x)=?

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Q: dy A. Find for the following: dx y = Vx3 +- In(esinh¯ x) i. x8

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Q: Let y = y(x) be implicitly defined by the equation x = 7xy+ 5 In(y). || dy dx

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Q: Q2 Find (d y/d x)& (dy/dx²) y ex cosxy = y

A: a…

Q: If y is a function of x and y3 + y2 - 5y - x2 = -4, find dy/dx implicitly.

A:

Q: Q9/ * dy Let y = t² ,t = 6x ,Find %3D dx

A: We solve this by use of Chain Rule .

Q: Use the information to find and compare Δy and dy.

A: Given that, y=x2-5x=f(x) x=-3 ∆x=dx=0.01   As we know, ∆y=f(x+∆x)-f(x) dydx=f'(x)⇒dy=f'(x)dx

Q: find the function y(x) satisfying dx/dy=5x ^(-6/7) and y(-1)=-2

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Q: y(x) =x' (2x – r²)

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Q: dy Find of the following function: dx (x² + 1)° e-2+

A: The derivative is calculated as follows:

Q: Consider y=(x2+1)2x a) find dy/dx b)Evaluate y'(1)

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Q: Find dx/dy for the function 2x3+xy2+2y=π2 when x=1 and y=2

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Q: Q2. Find 2 of y = 4x/x + Vx at x 1? dx

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Q: dy Find dx given that +y - 5y– x² = - 4.

A: Given,            y3+y2-5y-x2=-4

Q: Q2: Find the for the following functions: dy dx 1. y = 1- and t = 1/ 2. y [In(x² + 2)²1³ 3. y = xsex

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Q: If y = 3x+2/x-2, evaluate dx/dy when x = 1

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Q: Evaluate dy/dx when t = 7 such that: y = 2z^2 - 3z + 5 x = 4t^3 + t t = z^2 + z + 1

A: Given                y=2z2-3z+5           (1)    x=4t3+t                   (2)    t=z2+z+1…

Q: dy Q1) Find dx for the following function x²(x² + y²) = y²

A:

Q: For F = xy+xy+1 0, calculate: dy_ dx ây

A: Given,          F=x2y+xy+1=0

Q: Q:: Find dy for the following functions: - dx 5x²y5 - 3x = x* + 3y?

A: Given function is : We have to differentiate it with respect to x.

Q: If x =t-1+5 and y=6+t2 then dy at t dx = 15

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Q: Let x = 2t², y = 3 t³ + 1 find dy dx

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Q: Q2:Fid for : y = dy ncothx + sechx* dx

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Q: dy + 4y dx 31 with y W differen ナけ:

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Q: dy (а) Find of the following functions: dx (i) 3 In (xy²) =10x. (ii) 7sin (y+x)-5e = 2x'. (ii)…

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

Q: Find dy of the following functions or relations. dx а) In y" = x² – 4y°

A: Given :…

Q: find dy/dx y=t-1. x=t+²

A:

Q: Find dy for the following functions dx (i) y = (3x³ – 2x + 8)º (ii) y = ecos(3z²+4x–2)

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Q2: Find for (x+y) +(x- y) x +y* %3D dx

A: Derivative wrt x

Q: Q5: Find for the following functions: dy dx (1) In(x - y) = xy + y² ;

A: Find the derivative

Q: dy Find for dx 1 y=-=-72-8√x x

A:

Q: Find f(x) if y = f(x) satisfies dy 54yr dx and the y-intercept of the curve y = f(x) is 2. f(x) :

A: Given differential equation : Y intercept is 2 which means

Q: dy Find for the given function. dx csc(x) y = dy dx

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Q: dy If y=t+t and x= 5t+7 then at x = 17 is: dx

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

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Q: dy Find dx for implicit function ete + 3 x° cos y + 3y² = e4* + 3

A: Given that: x3.cosy+3y2=e4x+3

Q: dy Find for the following function: dx 1- y = etan'x

A: It is differentiation using chain rule.