Verify that wxy=wyx for w=ln(5x+8y).

Q: Differentiate the following function.   y = ln(x2 + ex)

A: Given function is y=lnx2+ex. To differentiate the function. Solution: Power rule of differentiation…

Q: > Evaluate the Antegral dx ax45x +2

A: Rewrite the given integrand as follows. 32x2+5x+2=32x+1x+2=22x+1-1x+2

Q: 70ot(*) e*dx e2x +1

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Q: find (y') by Implicit differentiation e(2x+3y) = x² – In(xy³) 1 Add file

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Q: Find the derivative using the logarithmic y=ln (x+1)/x^2-2

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

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Q: Use logarithmic differentiation to find dy/dx.

A: Given:

Q: ln(x) is just defined for x greater than 1. Select one: True False

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Q: Evaluate the integral.

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Q: xVx2 + 1 Y = (x+ 1)²/3

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Q: Find using logarithmic differentiation if y = (2z). dr %3D

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Q: Find y' by implicit differentiation. 1) x²y° = 2

A: Given equation: x2y9=2 To find: y' by implicit differentiation.

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

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Q: Use logarithmic differentiation to find y' for y = (Vx)5x. Simplify as much as possible.

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Q: Find xp by implicit differentiation. S 4e*"y = 2x

A: According to the given information, it is required to find the implicit differentiation.

Q: Find Dx [(πx^4−2√x+√3) /(2x^2 - x)(3x−2)]. Not by using logarithmic differentiation.

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Q: Use logarithmic differentiation to get the dy/dx of: y = (20^x) tan^-1 (x^2 - sinh 2) / (cosh^3 x)…

A: Use logarithmic differentiation to get the dy/dx of: y = (20^x) tan^-1 (x^2 - sinh 2) / (cosh^3 x)…

Q: )=1/x. Using this, compute the

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Q: Find the nth derivative of the function y=ln(ax+b).

A: Given function is Differentiating with respect to x repeatedly, we get In general,

Q: Differentiate the following function.   y = ln(ex2/x)

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Q: Use logarithmic differentiation to find dy/dx. (x+1)(x-8) y = (х - %3D X > 8 1)(x + 8)'

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Q: Differentiate the following function.   y = ln(ex + 3e-x)

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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: Evaluate the integral.

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Q: Jse Logarithmic Differentiation to find dy/dx for y= 3x(2x+5) (x+1)2

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Q: Find Lnz when z = 0.6 + 0.8i

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Q: Use logarithmic differentiation to find dy/dx for y= x^3 square root(2x-3)/(x+2)^2

A: This is a problem of differentiation of the function. By using the general formula we will find out…

Q: What is the domain of ln |x| ?

A: Given: fx=lnx To determine: Domain of a given function.

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

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Q: Use logarithmic differentiation to find dy/dx for y=5√x-1/x+1

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

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Q: Use the technique of log differentiation to find when y = (sin(x))In(x) %3D dx and then evaluate it…

A: Given that y=sinxlnx find dydx using log differentiation

Q: How is ln x affected if x is multiplied by et?

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Q: 6. y = (x² – 1)tnx

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Q: If f(x)-logCos4x + sinx.Then find 9 (x) JP at x= sec 2c dx 6.

A: Given function is: f(x)=logsec2x|cos4x|+|sinx| To find the value of 9df(x)dx at x=-π6

Q: Verify by differentiation that  ∫ ln x dx = x ln x - x + C.

A: The given statement is ∫ln x dx=xln x-x+C. Verify this as follows.

Q: Q5 Answer with all details, By using Logarithmic find the 3 x(x-2)sinx derivative of y = (x2+1)Vsecx

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Q: Find the exact length from 1 to 2: y=((1/4)x^2)-(1/2)ln(x)

A: Find the exact length from 1 to 2: y=((1/4)x^2)-(1/2)ln(x)

Q: Use logarithmic differentiation to find y' for y = (vx)5x. Simplify as much as possible.

A: Logarithmic differentiation is done by taking logarithms on both sides of the equation and…

Q: 3. Use Log Rule to integrate. J6x-5 dx a. 6х-5 b. S- 1 dx x Inx

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Q: If f(x) = sinh 2x − e2, find the exact numerical value of f"(ln 2).

A: Given : f(x) = sinh 2x − e2

Q: Q5 Answer with all details, By using Logarithmic find the x(х-2)sinx derivative of y = (x2+1)vsecx

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Q: ミr

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Q: Find y' by direct differentiation (with respect to x). y = (5x2 + 6x − 7) ln x   and  y = (e-x)/…

A: Solution -a.)Given function -y = 5x2+6x-7lnxDifferentiating on both sides with respext to x,dydx =…

Q: 1= x* + 5y3

A: The given equation is 1=x4+5y3

Q: Use logarithmic differentiation for find for y = (x-12)² dx x-8

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Q: Find dz using logarithmic differentiation if y (2z). %3D

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