Find dx 1. y = log10 Vx 2. y = x*

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 derivative of the exponential function. Y = x'e-5x dy dx

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Q: Find y' for y = (2(x^2+1))/(x(sqrtx+1)) using logarithmic differentiation

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Q: 1. logx = 2 %3D 2.ln(x + 1) = 5

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Q: Find the derivative. y= log (8x) y =0

A: The given equation is: y=log(8x)Let,   8x=ty=logt

Q: dy et y = (x³ – 18x)m(=). Find using the method of logarithmic dx - ifferentiation. Express your…

A: Topic:- derivatives

Q: Use logarithmic function to find dy/dx, if y=(x^2+5)^sin (2x)

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Q: dy Use implicit differentiation/logarithm to find dx 4. sin(x+y) = xy + 5

A: We will use implicit differentiation to find the required value.

Q: dy Find using logarithmic differentiation if y = (3x)2". dæ

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Q: Find the first derivative:  y=log1o 5x+3/5x-4

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Q: Find the indicated derivative and simplify. [6x log x°] dx [6x log x ]= 125 dx (Type an exact…

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Q: dy if y = log(In x). dx Find

A: as we know that ddx(logax)=1x×1ln a  and ddxlnx=1x

Q: y = /logx Vlogx dy A. dx 2xln10 dy dy С. dx dy D. dx 2x Vlogx dx 2x In10 /logx 2xln10 In10/logx B.

A: SOLUTION-

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

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Q: V3x+1(4x+1) (1– 2x)* Calculate y: y=

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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: A certain radioactive substance has a half-life of 38 hours. The rate of change in the decay is…

A: In this we are going to use decay formula so I'm providing hand written solution for this

Q: Solve x +y= logx dx

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

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

Q: dy Find dz using logarithmic differentiation if y = (3x)3.

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Q: 2. y = [log(arccotx³)]coshx. Find dy/dx

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Q: y = log,(4x - 8x)

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Q: Because of job outsourcing, a town predicts that its public school population will decrease at the…

A: Given,           Because of job outsourcing, a town predicts that its public school population will…

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

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Q: Find the derivative d (2* log2 x) dx

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

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Q: Evaluate: dx (x+1) log(x+1)

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Q: y= log, sinx

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Q: (b) Find the derivative of y = log,(5x')+log, (sin.x)

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Q: Sind dx/dy if ys log Vitx? 14

A: Given: y=logx1+x2+logx1-x214. So,         dydx=ddxlogx1+x2+logx1-x214…

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: dy Find using logarithmic differentiation if dx y = (3x)³¤.

A: Given that y = (3x) 3x . We find dy/dx. We know that d(xn)/dx = nxn-1. Here i attached solution of…

Q: Differentiate. y= log (x +x) log (x +x) = D dx

A: We can solve the differentiation as below.

Q: Pr. #2) Solve for y' = by logarithmic differentiation. e sinh(3x + 1) y = (2x + 1)4 5x –1

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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: 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: 0/= log10 (x) dx

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Q: dy by first using algebraic properties of the natural logarithm dx Find (x + 6)(x + 8)* (x +3)*(x +…

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Q: If y = loge(x2+9)1/2 find dy/dx differentiate the exponential functions i) y= 153x         ii)…

A: 1. giveny=log(x2+9)12 by using property of logarithmy=12log(x2+9)differentiatedydx=12(x2+9).2x=xx2+9…

Q: A certain radioactive substance has a half-life of 50 hours. Find how long it will take for 90% of…

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Q: 5. Find using logarithmie differentiation: dy y = [sin(x)}!m(=)

A: Find using logarithmic differentiation:   y = [sin(x)]^ln(x)

Q: Find dy/dx using logarithmic differentiation: y = [sin(x)]^ln(x)

A: Given that, y = [sin(x)]^ln(x)

Q: Because of job outsourcing, a town predicts that its public school population will decrease at the…

A: .

Q: Find the first derivative y = [ x1/3 (x-5)1/5]/ (3x+7)9      Use logarithmic differentiation

A: Given, y = [ x1/3 (x-5)1/5]/ (3x+7)9     -i) To find: 1st derivative by using logarithmic…

Q: Find the higher-order derivative. (4 log 2(x – 5)) dx2

A: Given, d2dx24 log2x-5