Solve ylogydx + (x- logy)dy = 0.

Q: Solve x*+6r34y dx+ +3x=+y = (1 + logx)* dx²

A: Given differential equation, x4d4ydx4+6x3d3ydx3+9x2d2ydx2+3xdydx+y=1+logx2 This is a homogeneous…

Q: Find the integral: log7 X dx = %3D

A: Solve the following integral

Q: H.w find the root fcx)= X log x-loo when [ !,3} by Bisaction ?

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: +y log z =0 is 1S

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Q: Solve: x a + y = logxsin(logx). dx

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Q: (a) Find if y(x) = log3(729) sec(In(r)) + In()r+ e

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Q: The graph of y =log(3x) has..

A: Given,          The equation is y=log3x.

Q: y = log( 2x'Vx² -1) 8.

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Q: Find the equation of the vertical asymptote f(x) = log(x – 1)

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Q: f (x) = sec(3x – 1) * log3(2 +x) -

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Q: Find the equation of the vertical asymptote f(x)=log(x+5)

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Q: (8) y = x³ log3x, find y' %3D

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Q: 2. y = loga(x³ + 2x – 2)

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Q: y = v4x + 3 log2(x² + 2)

A: Given query is to find the derivative of the expression.

Q: M= Cos(xyz)+log3(xyz)-Csc-1(xyz) solve= ∂3M/∂xyz

A: Given;                  ∂3∂xyzcosxyz+log3xyz-cosec-1xyz…

Q: 2. Find y' if y = 7* (log4 x)⁹.

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Q: dy/dx of log5(y2-y) + csc-1 (x/π) = -3y

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Q: | 1-x² y = log10 2- 5x

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Q: Find , given y = log(ev+x²). dy dx

A: Given y=logex+x2  We find dydx The differentiation formula of logarithm is ddxlnx=1x and the power…

Q: Find and simplify whenever possible. dx y = log10(x² + 1)² ||

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Q: Find ay dx 3. 4. 5. y = 2e³x5tanhx y = xln(5x-2) y = sec ¹(log 7x)

A: Given :y=2e3x5tanhx4. y=xln(5x-2)5.  y=sec-1log7x

Q: Find the equation of the vertical asymptote f(x) = log(x + 5)

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Q: Find the equation of the vertical asymptote f(x)= log(x+1)

A: The equation of the vertical asymptote f(x)= log(x+1)

Q: Find dy/dx if y=log(-4x^2+2)

A: To find the dy/dx of the given function.

Q: Find ay 3.y= log (x-)3 m Cxt2)^]

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Q: y=x^logv5(x) dy/dx=?

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Q: Differentiate. y =9* . log 7x (g*. log 7×) • log 7× dx

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Q: find dy if by using logarithmic

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Q: y = log, (2a – 1) · (x³ – 4x)

A: Given: y=log42x-1·x3-4x Formula used: Product rule: f·g'=f'·g+f·g' Constant multiple rules of…

Q: what is the domain of the function Y= logy (9x t 12) - 5?

A: y=log44x+12-5

Q: e: Sz dx (x+1) log(x+1)

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Q: y= logx? + 4 Find dy 3 dx

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Q: Differentiate. dx y=9* • log 5x (9* • log 5x) =

A: To Differentiate :  Given function  y = 9x  log5 x  with respect to x Following  formulas will be…

Q: Solve py = 2yx + log q ру %3D2ух

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Q: Differentiate the function.

A: Given: y=2xlog10x To Find: Differentiate the given function. Concept: i. Product…

Q: If y = loge(sin x)? dx will be equal to dy

A: Given: y=logesinx. To find: dxdy Solution: Chain rule of differentiation states that:…

Q: Find Y for the following function: dx 3- y = log,(x3- x) 4- y = In 5- tan-1 V4x – 5

A: we have to find the derivative of the following

Q: dz Solve dx log (log 2)². z =

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Q: dy Find , given y = log3 dx 10- x 2x5

A: Given y=log310-x2x5⇒y=log3e · loge10-x2x5      Using the property: logab=logac·logcb

Q: Differentiate. y = 12* • log 6x d x (12*- log ex) = D 6x) = [ %3D dx

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Q: Find the equation of the parabola osculating with the exponential function f(x)=ex at the point…

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Q: Find the logistic differen tial equation dy =ky 1- dx

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Q: 10 y =x X log. Cax+1) logon Do

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Q: Differentiate. y = 10 log 3X %3D d dx (10*. log 3x) =D • log

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Q: Vx²-1•sin x y%3= %3D (2x+3)4

A: To find: The derivative of y=x2-1·sinx2x+34 using logarithmic function. Formula used: The derivative…

Q: Find dy if y =log Viax alog (L_x²) a .2

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Q: Find dy dx given (х* + 3x — 1)° /1 – 3x³ y , by using property of logarithms.

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Q: Differentiate the function y 2x log4(Vx) У' 3

A: Firstly, we use product rule of differentiation which states that (uv)'=u'v+uv'

Q: 4. y = log v2x + 55. y = In(2x + 1)*6. f(x) = In(x +3)* %3D

A: topic - derivative of a function

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: