dy In(5x + 5) Find for y = - dx 3e2x dy dx

Q: dy/dx of x + y + xỵ = 3

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Q: (3y + 2x) dx –x² dy = 0, given that x = 1, when y = 2

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Q: Find dy dx? if y= 5cos2x-4sin 2x at x =0

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Q: d y = -4 at x= 0. dx dy +2- +5y=0, where y = 2, dx dx

A: We have, the given differential equation as d2ydx2+2dydx+5y=0 Therefore, D2+2D+5y=0 Thus, auxiliary…

Q: dy In(4x + 4) Find for y %3D dx 5e4x dy %3D dx

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Q: dy In(3x + 5) Find for y = - dx 8e3x dy %3D da

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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: Evaluate dy/dx at (-3,1) for x3+(7+xy)5/2=82/3+y2

A: Given:

Q: dy + (3y - ex) dx = 0

A: Given differential equation is  x dy + (3y - ex) dx=0

Q: ∫ 2y dx + 3x dy   where d is described by 0 ≤ x ≤ 1, 0 ≤ y ≤ 1

A: Consider the given integral is, ∫2ydx+3xdy The above equation is of the form M=2y and N=3x. Then, by…

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: dy sin(2x) Find for y || dx /3 – x2 dy dx II

A: Doing the proboem by obtaining the derivative.

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

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

Q: ind dy/dx if y=8x-3/24x^5

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Q: (Зх — у — 4)dy — (х + у— 4)dx %3D 0 - -

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Q: dy In |= 8x+7y; y(0)=0 dx

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Q: In(5x +3) dy at x = 0. dx (a) If y = then find et

A: Given; y = ln(5x+3)/e5x

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

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Q: Find Ans= dy dx for y = 3x + ex x² - 5

A: Using formula of d/dx(U/V)

Q: dy Find if dx y = 7u + 2 and u = 9x-3. dy dx Enter your ar

A: Given:    f(x) = 7u + 2       u = 9x - 3

Q: dy dy dx +3. + 2y = 0, subject to y(0) = 2 and y'(0) = –6 dx2

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Q: Find dy/dx for x2+xy+y3=1

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Q: what is dy/dx of x+ylny=y+xlnx+1

A: Given,          x+ylny=y+xlnx+1

Q: dy Find dx if y In(x2 32)

A: Given:

Q: dy 4 sin 2x, y = 2, when x = 1/2 dx

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Q: dy Find for dx 3) y = In(vx2 + 1+x) sin¯1x X.

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Q: Find dy/dx, if y=(x^2−2)^3 (2x+3)^4 dy/dx = _____

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Q: Find dy/dx if 5x1/2 + 6y1/2 =15. dy/dx=?

A: We have to find dydx for 5x12+6y12=15.

Q: dy - 3x2 + 4 y = In ² x – In x dx dx

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Q: y= In]3x+2)²/2x–1 dy 1. Find dx

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Q: dy dzy If y = e2x –2e¬3x, Find at x = 1 dx 'dx2'

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Q: Find dy/dx when y=√x^2-x

A: y=x2-x

Q: Find the general solution of dy (y2 + 4) In x In(y2 + 4)"* %3D dx

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Q: 3. Find dy/dx of: x(x-y)-xーy evaluated at x = 0.001 and y = 0.002

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Q: dy/dx 5 - y = In(x – Vx²+ 1)

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Q: Q3) Find dy/dx if 1- y= In /x 2- y3xsin

A: 1) d(ln(x))dxApply the chain rule: 12ln(x)d(ln(x))dx

Q: Solve for dy/dx and d2y/dx2 of : y=(x^2e^-x)- 4e^x

A: The function is y=x2e-x-4ex. Find the value of dydx using product rule as follows.…

Q: dy 4. if y = csch-1 2º . de 2x+2 dx . 5. J2-2x+1 x² –2x+1 dy 6. dx if y = (1+ x²)etan-1x

A: Given; 4. y = csch-12theta 5. Integration of the term (2x+2)/(x2-2x+1) 6. y = (1+x2)etan^(-1)(x)

Q: 3 -V7 dz dy dx dy dz dx

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Q: what is dy / dx if y^2 = x

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Q: Find dy/dx and dx/dy from 6x-x'y +4x 0

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Q: Find dy/dx, given that xy^3 -3y^2 +xy=1-3x

A: The main objective to calculate the derivative of the function xy3-3y2+xy=1-3x.

Q: Find dy/dx and d 2y/dx2 if x = 1 + t 2 and y = tln t.

A: Given: x=1+t2y=t ln t   Chain rule for derivative: ddxf(g(x)=f'(g(x)).g'(x) Product rule for…

Q: ex dy dx dz = e** dz dy dx 0.

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Q: If y = (x² - 3x +2)(x² - 2), find dy/dx and evaluate dy/dx when x = -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: find dy/dx for y = -(3x^2 + 5x)^5.

A: solution is given below.

Q: ¥3 at x = 0, and = 0 with the dy dx

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Q: Find dy for dx 6) In y = In xe*

A: Topic:- derivatives

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

A: We have to find derivative for given function.