What is the derivative of the natural logarithm function ln x? How does the domain of the derivative compare with the domain of the function?

Q: Use logarithmic differentiation to find the derivative of the function. y = (3x + 2)4(4x − 3)2

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Q: Find the derivative of the logarithmic function. f(x) = 2x² In 2x f'(x)= 2n +4n in (2n) X

A: Follow the procedure given below.

Q: Find the indicated derivative and simplify. [3x log x³] dx [3x log x³] = dx (Type an exact answer.)

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Use logarithmic differentiation to find the derivative of the function. 5x y' =

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Q: Use logarithmic differentiation to find the derivative of the function. y = xln(x)

A: aur objective is to find the derivative.

Q: Use logarithmic differentiation to find the derivative of the function. y = x4/x y'(x) =

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Q: Use logarithmic differentiation or an alternativemethod to find the derivative of the function  y =…

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Q: Use logarithmic differentiation or an alternative method to find the derivative of the function. y =…

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Q: Use logarithmic differentiation to find the derivative.

A: Given function is  y=e3xx-22x+12

Q: find the derivative of: f(x)= x^(1/x) using logarithmic derivatives

A: Given function

Q: use logarithmic differentiation to find the 1st derivative f(x)= x²(2x+3) (x²+1)*

A: given function  f(x)=x22x+3(x2+1)4

Q: Use logarithmic differentiation or an alternativemethod to find the derivative of the function  y =…

A: To find the derivative of the given function.

Q: Use logarithmic differentiation to find the derivative of the function y (x3 2)2(x4 4)4 y'

A: Consider the given function

Q: Use logarithmic differentiation to find the derivative of the given function. f (x) = (In æ)*

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Q: Use logarithmic differentiation to find the derivative of the function. y = x8 cos(x)

A: Let's find.

Q: Evaluate the derivative of y=(cosh'(4x))* . Give your answer in natural logarithmic form.

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Q: Use logarithmic differentation to find the derivative of the function. y=square root (x-3/x6+5)…

A: We can find the derivative of the given function by using the logarithmic differentiation. log (xa)…

Q: What are the domain and range of ln x?

A: Given: y=lnx we know that in lnx, x>0 so, domain of given function is x>0

Q: use logarithmic differentiation to find the derivative of the function y=x^ln(6x) y'(x)=

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Q: use logarithmic differentiation to find the derivative of y=(x^2+3)(x-1)^2(x-2)^1/3

A: Applying natural logarithm on both sides, we get

Q: Use logarithmic differentiation to find the derivative of y. 22) y = /x(x+ 5)

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Q: Use logarithmic differentiation to find the derivative.

A: We have given y=x+1x+22x+3x+4 Taking log on both sides…

Q: х — 3 y = х° + 3

A: topic - logarithmic differentiation

Q: Use properties of logarithms to find the derivative of f(r) = In ((2. 2)

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Q: Use logarithmic differentiation to find the derivative of the equation. Y= (x + 1)^2*(x + 2)^3

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Q: Find the derivative of the function y = log3(x2 − 3x)

A: Consider the following: y=log3x2−3xDifferentiate w.r.t.…

Q: Use logarithmic differentiation to find the derivative of the function. y = (x4 + 2)2(x³ + 4)4 y' ||

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Q: Use logarithmic differentiation to find the derivative of y. 20) y = (x4 + 1)³(x - 1)2x4

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Q: X In Зх +1 y y' X

A: Given ; ln(x2/(3x+1))=y/x.

Q: Use logarithmic differentiation or an alternativemethod to find the derivative of the function  y =…

A: Given, y=(tanx)1x use logarithmic differentiation or an alternative method to find the derivativeof…

Q: f(x) = log,(x² – x + 3)

A: Given: f(x)=log4(x2−x+3)

Q: 424

A: Given: y=x4e2xln3x To find the derivative of the given equation using logarithm.

Q: Explain briefly how we can compute the derivative of a function y=f(x) using logarithmic…

A: Logarithmic differentiation is an important method of differentiation. To find the derivative of the…

Q: Use logarithmic differentiation or an alternativemethod to find the derivative of the function  y =…

A: the given function is: y=xx we have to use the logarithmic differentiation or an alternative method…

Q: Use logarithmic differentiation to find the derivative of y. 22) y = 1 B) - |(Inx - In(x - 7)) D) X-

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Q: Find the derivative of the logarithmic function. y = In Isec x + tan x|

A: We have to find the derivative

Q: Find the derivative of the logarithmic function. f(x) = 2x² In 2x f'(x)= 4in (2x) + 6

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Q: Use logarithmic differentiation or an alternative method to find the derivative of the function. y =…

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Q: Find the derivative of f(x) Give answer in exponential notation with positive exponents

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Q: What is the derivative of e^-x

A: Given query is to find derivative of e-x

Q: Use logarithmic differentiation to find the derivative of the function. 4/ x y = x*

A: Given function, y=x4x

Q: Use logarithmic differentiation to find the derivative of the function Зx VX у 3 У'3

A: To differentiate the following function

Q: Use logarithmic differentiation or an alternativemethod to find the derivative of the function  y =…

A: Given:y=sinxlnx

Q: Use logarithmic differentiation to find the derivative of (x – 1)(x – 2) · · (x – n) - f(x) where n…

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Q: Use logarithmic depreciation to find the derivative of y with respect to x

A: Given,  y = x7x+4   We have to derivative of y with respect to x

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

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Q: Find the derivatives of 20" log(tan x)

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Q: Use logarithmic differentiation to find the derivative of the function. y = (x5 + 2)²(x* + 4)4 y'(x)…

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Q: Find the derivatives of x log x.log(logx)

A: We have to find the derivative of-  x logx.log(logx)

Q: Use logarithmic differentiation to find the derivative of the function. y = (x3 + 2)2(x4 + 4)4

A:

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: