dy 1. Use logarithmic differentiation to solve dx x'V7x-14 (1+x)* x +1 2. Evaluate the integral | dx using appropriate substitution. Vx +3x

Q: dy 5. Use Implicit Differentiation to find dx a) 4xy + x² = 4 - Iny³

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Q: Find the differential dy for the given values of x and Δ x. y = 5x 2 - 2x + 3 ;  x = 2 , Δ x = - 1…

A: Given that: y=5x2-2x+3,  x=2  ,  Δx=-16

Q: d'y dy and dx 2. Find by implicit differentiation. dx? 5xy? = 1

A: The given function,    5xy2=1

Q: Find dy/dx by implicit differentiation e^(x/y) = 3x - y

A: We have the equation: ex/y = 3x - y ex (ey) = 3x - y We need to calculate the implicit…

Q: Let y 5x? + 5x + 2. || Find the differential dy when x = 5 and dx = 0.3 Find the differential dy…

A: GIVEN: y = 5x2 + 5x + 2

Q: Find dy/dx by implicit differentiation: e^ysinx = x + xy

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Q: Find dy/dx by implicit differentiation. /xy = x³y + 73 dy/dx =

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Q: Find dy/dx by implicit differentiation if x^3 + x^3y + 4y^2 = 6 Find y' by logarithmic…

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Q: e (sinh x dx + cosh x dy) = 0

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Q: Suppose x4 e−4y = ln (xy).Find dy/dx by implicit differentiation.

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Q: 51. The functions y = e* and y = x³e do not have elementary anti- derivatives, but y = (1 + 3x)e"…

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Q: Find dy/dx at the given point without first solving for y. x2 + 4xy + 23 = 0 at (1, −6)

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Q: Find dy/dæ by implicit differentiation. ezy = x + y dy/dx:

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Q: 10. Find the derivative of y = ln 4**+1) In 4 dy A) dx 2x dy 2x In 4 B) dx dy 2xIn 4 C) dx 4(*+1) dy…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = x+3/2x-3

A: Quotient rule of differentiation:

Q: Find dy/dx by implicit differentiation. √xy = x³y + 54

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Q: 9. Find dy/dx by implicit differentiation of y? = In(x), at (e36,6).

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Q: In(r) Find dy/dx using the method of logarithmic differentiation when y = (4+ 2x²).

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Q: Find for the following function: dx 1- y = log2 cosh(2x) 2- y = e(x*+1) 3- xy + x²y = 3 at x = 1 4-…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) 6. y = 2/x +

A: Given:

Q: dx +4x = 2e 3 , x(0)= 5 dt (d) dx +4x = sin 2t , x(0)= 0 dt (e)

A: Laplace transferom, solve the differential equation by using Laplace transferom

Q: If e (3x + 2)e2* dy 3 4 using logarithmic differentiation. (b) show that +2 2.x-1 %3D (2x-1) dx 3x…

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Q: Find dy/dx for y = 3l(sin-(e-3**)12 dy 3(sin"(e-*)* In3 2(sin-"(e-3x*)- dx 1(-6х) V1-e-6x2

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Q: Find the differential dy of y = tan x for x = π/4 and dx = −0.1.

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Q: Find  dy/dx by implicit differentiation. x2/x+y = y2 + 4

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Q: Find the differential dy of the given function.    y = x tan x

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Q: Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (-0.01) xe…

A: Here we can use the following formula  If z=fx,y, thendz=fx dx+fy dyδzδy=fx δxδy+fy

Q: 7. Find dy and hence determine the rate of change of y with respect to x for the following…

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Q: Let y = tan (3x + 3). Find the differential dy when x = 3 and dx = 0.4 Find the differential dy when…

A: Given is the function y=tan(3x+3) We need to find the differential dy when x=3 and dx=0.4. and…

Q: -20 Find dy/dx by implicit differentiation y 20. tan(x – y) 1 + r .2

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Q: Find complementary function and particular integral of d²y - y = xe* + cos² x dx2

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Q: Let y=(x^2+2)^2 Find the differential dy when x =5 and dx =0.5 Find the differential dy when x=5 and…

A: a) Find dy for given equation.

Q: (c) Find dy/dx by implicit differentiation cos(x² y) = x

A: We are given, cos(x2y) = x We need to find dy/dx

Q: Find dy/dx by implicit differentiation. √xy = x2y + 1

A: We have to find dydx by implicit differentiation: xy=x2y+1 An implicit function is fx, y=0 We know…

Q: Let y=tan(4x+5). Find the differential dy when x=4 and dx=0.2

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = xV9 - x2

A: Use  the differential of the form f = u.v

Q: Find for the following function: dx 1- y = log2 cosh(2x) 2- y = e(x+1) 3- xy + x²y 3 at x = 1

A: Here, We need to find the derivative of the given functions. To solve these questions, we need chain…

Q: Find the differential dy of the given function. (LUse "cx" for dx.) x +3 3x

A: We will solve the problem

Q: 1. Find dy/dx using chain rule and or implicit differentiation. a) In(xy) + 5x =30 b) (sinax +…

A: As per bartleby guidelines we only give first three question answers.

Q: Find the differential dy of the given function. Xx + 5 y = 2х — 9

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Q: بال 20 S 3y م + dx dy

A: The double quintessential is maximum typically used to calculate the floor vicinity of a…

Q: dy Find y(0-2) by using Euler's method for y=1 for x= 0. log10 (x+y) with initial condition %3D dx

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Q: Find the differential dy of the given function. y = x(1 − cos x)

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Q: 1. If f(2) = 1, find the constant of integration for dx f(x) = +3

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Q: (a) Find thẻ đéřivătivė. rivative. 1 y = In(x2 – 6) 3 dy dx (b) Find the derivative. 3 = INVX2 – 6…

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Q: Show that d/dx(ln kx) = d/dx(ln x), where x > 0 and k is a positivereal number

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Q: Let y=(x2+4)to the 4th power. Find the differential dy when x=3 and dx=0.3.... Find the…

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Q: 3 dy Find dx if y = cos vx + 4sin x – log 3(3x + 1)ž. إضافة ملف

A: We will solve the following

Q: A-The derivative is y = In Vsin 0 cos 0 1 + 2 ln 0

A: Let's find derivative of given  function.