Differentiate the given function. If possible, first use the properties of logarithms to simplify the given function. y = 19 In (X³V7X +8) y' = D

Q: dy (x² + 1)? if y = 2) Find dx (x² – 1)³ a) without the aid of logarithmic properties b) using…

A: Here we have to find the the derivative of y

Q: Is ln xy = ln x ln y a valid property of logarithms, where x > 0 and y > 0? Explain

A: ln(xy)=ln(x)+ln(y) using the addition property of logarithm. Where x>0 and y>0.

Q: If log2 X = 5, what is ln X?

A: topic - logarithmic function

Q: 3. Algebraically rewrite the following equation using properties of logarithms and inverse…

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Q: Differentiate the Logarithmic function: y = 3 ln square root of x

A:

Q: Which of the following functions grow faster than ex as x→ ∞?Which grow at the same rate as ex?…

A:

Q: Differentiate the following functions using logarithmic differentiation. 1. y = (2x + 1)š(3x – 4)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: dx 1. х2 — 1

A: Given: Let I=∫xx2-1 dx To Find: To evaluate the given integration.

Q: Which of the following functions grow faster than ln x as x→∞?Which grow at the same rate as ln x?…

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Q: snip

A: The exponential function and the logarithmic function is strictly increasing functions for x > 0.…

Q: (x² + 1)? dy if y Find dx (x² – 1)³ a) without the aid of logarithmic properties b) using…

A:

Q: y = loga 4x 6.

A: Differentiate with respect to x.

Q: 1 [log, (x- y) - log; (x+ y)]

A: Given that: 12log5(x2-y2)-log5(x+y)

Q: Express the given quantity as a single logarithm 1/7 ln(x + 2)7+1/2[ln(x)-ln(x2+3x+2)2]

A: Formula used:

Q: Find the deri vative OF +he exponential function: y = arcsin e*

A: Given function - y = sin-1e-xDifferentiating on both sides with respect to x - dydx =…

Q: d Find (3"). Type In(x) for the natural logarithmic dx function.

A: we have to find the derivative of 3x

Q: Which of the following functions grow faster than In x as xoo? Which grow at the same rate as In x?…

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Q: Determine y′(x) if y(x)=(4x^3+6)^sinx.  Enter an exact answer in terms of a natural logarithm.

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Q: ( 3x+log; x dx = ? ||

A:

Q: 10. y = log2(3x + 1) %3D

A: We have to solve

Q: Differentiate the function Y = logi5(x° +1)

A: Differentiation of logax is defined as dlogaxdx=1xloga Chain rule of differentiation states that…

Q: Express the following logarithms in terms of ln 2 and ln 3. ln √13.5

A: Express ln13.5 in terms of ln2 and ln3.

Q: cos e Differentiate y =- using Logarithmic differentitation. nxV2x +1

A:

Q: 1.Solve by logarithmic differentiation -(x+1)(x+2)(x+3)2 Y=In(- V(x+3)3 (x+4)*

A:

Q: Find the function of the form y = loga x whose graph is given.

A: A logarithm function of the form logax has the property that loga1=0. This is because a0=1. For this…

Q: If y = loge (2x + 1)'/2 ? and x = 1 y'will be equal to Select one: O a. 1.3

A: The given function is y=loge 2x+112. Obtain the derivative as follows. dydx=ddxloge 2x+112=ddx12loge…

Q: Find d/dx(2x) Type ln(x) for the natural logarithmic function.

A: Given query is to find the derivative of 2x.

Q: Find d/dx(2^x) Type ln(x) for the natural logarithmic function.

A:

Q: Express the following logarithms in terms of ln 2 and ln 3. ln 3√2

A: Solution:- the given term is A=ln(32) as we know that  ln(m×n)=lnm+lnnand ln(a)b=bln(a)

Q: Find the function of the form y log,(x) whose graph is given.

A: Given that: Graph of f(x)

Q: y=10x log10 X differentiate?

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Q: Differentiate f (x) = loge (x26")

A:

Q: Find the equation of the curve y=g(x)=ax+b, which osculates with the graph of the logarithmic…

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Q: II. Determine the derivative of the ff. logarithmic functions 1. y = 25 In 5x 2. y = -10 In 3x4 3. у…

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Q: Find dg Using Logarithmic differentation y =3 2x +1

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Q: 4. Which of the following functions grow faster than x2 as x→∞? Which grow at the same rate as x²?…

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Q: Express the following logarithms in terms of ln 5 and ln 7. ln 9.8

A: The given expression is ln 9.8

Q: Differentiate the function.

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

Q: Differentiate. y = log 4X d. dx 1og 4x =

A:

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

A:

Q: Differentiate y = - using Logarithmic differentitation. A x2x' +1

A: Given;  y=ecosx^2/[pi x sqrt(2x3+1)].

Q: Find the value(s) of x for which the equation is true. log(x + 2) = log(x) + log(2) X =

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Q: Find d/dx(4^x). Type ln(x) for the natural logarithm function.

A:

Q: Find the derivative of Log(22³). 1/22 3/z 2/z

A: Given problem is  : ddzln2z3

Q: Find the equations of the tangent and normal lines to the graph of the natural logarithm function at…

A: Slope of the tangent line is the derivative of the given function at the given point. Now…

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

A:

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'

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.