CURRENT OBJECTIVE Find the derivative of a natural logarithmic function using properties of logarithms Question 4x2 sin (-9x) Find the derivative of f(x) = ln , using the properties of the logarithm. 4x + 2 Provide your answer below: f'(x) =

Q: Logarithmic Diffetentlin tion Use logarithmie differentiation te find the derivative of Ywith…

A: dear student we are only allow to solve first question only  if you need rest of answere please…

Q: cos(2x)81-x (x*+1) Given f (x) = Use logarithmic differentiation to find the derivative of the…

A: According to question,Given function,fx = cos2x81-x4x2 + 1

Q: 3. (a) Use logarithmic differentiation to show why the derivative of a is a In a, where a is a real…

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Q: Using Leibniz find the third derivative of the following function y = e2= Inx

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Q: Use Logarithmic Differentiation (as shown in lecture) to find the derivative of y = (4 + sin x)√T…

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Q: find the second derivative of the function. g(x) = e6x ln(x) g''(x) =

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Q: Find the derivative of y = (-4x - 9)csc (x). Be sure to include parentheses around the arguments of…

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Q: Use logarithmic differentiation to find the derivative of the function. y = x6 cos(x)

A: We have,

Q: 1. Logarithmic differentiation. Compute the derivative of each function using logarithmic…

A: Given is the function f(x)=x4(1-2x)x3+2 Take log on both sides of the given function. Then use the…

Q: Derivatives of logarithmic functions Calculate the derivative of the following functions

A: To find: The derivative of y=1log4x. Concept used: Logarithmic power rule: ln ab=b·ln a Chain rule…

Q: Find the derivative of the function. (Hint: In some exercises, you may find it helpful to apply…

A: Consider the function  fx=5x

Q: se logarithmic differentiation to find dy Don't skip or combine any steps. Simplify your ans dx'…

A: We will expand the expression after applying ln on both sides using the properties of logarithm

Q: (Hint: logarithmic differentiation)

A: As this is a multiple question according to the Bartleby Answering rule, only first question and its…

Q: Use logarithmic differentiation to find the derivative of the function. (x²+1) tan² x y = x3

A:

Q: 19. + Question Details Use logarithmic differentiation to find the derivative of the function.

A: To find the derivative of the composite function , using logarithmic differentiation

Q: Find the derivative of the function. (a) g(x) - log,(8x - 9x²) - (x),6 (b)

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Q: Derivatives with exponentials Compute the derivative of the following functions.

A: Given: gx=xe3x

Q: Find the first derivative of the following equation (see image). This and the other derivatives can…

A: The given function is,

Q: Use logarithmic differentiation to find the derivative of y=x^√x/√x

A:

Q: Logarithmic Diffetentintion Use logarithmice differentiationte find the derivative of Hwith respect…

A: Solution  using log property,

Q: Find the derivative of a logarithmic function of any base using properties of logarithn Question…

A: We have to find the derivative of the given function.

Q: find derivative of g(x)=ln (11x4)

A: Given, g(x)=ln (11x4)

Q: Find the derivative of f(x) = ln v4 – x2 %3D

A:

Q: Find the derivative of the function.   f(x) = ln(x + 4)   f'(x)=

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Q: Find the second derivative of the function. g(x) = e6x ln(x)

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Q: Find the derivative y= log|6-x|

A: To find the derivative of the given function

Q: e derivative of the function given below be used to find the derivative of the give y = x*

A: Introduction: In mathematics, differentiation is the process of determining the derivative, or rate…

Q: Find the derivative of the function. y = log10(9x)

A: Given,           The function is y=log109x .

Q: Derivatives of logarithmic functions Calculate the derivative of the following functions. In some…

A: Derivative: y=log8|tanx| logab=lnblnay=log8|tanx|  =ln(tanx)ln8

Q: Find the third derivative of the function. f(x) =  5 x

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Q: 1. f(x)= x²(2x+3) (x²+1)*

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Q: Derivatives of logarithmic functions Calculate the derivative of the following functions. In some…

A: Given function is y=log10x. From Property of logarithm, we have logab=lnblna Therefore, given…

Q: Differentiating Exponential Functions Find the derivative of the function. ex + 9 f(x) ex - 9

A:

Q: do you find the

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Q: Use logarithmic differentiation to find the derivative of the function. y (cos(3x)) X y [D] Note:…

A: Given function is y={cos(3x)}x

Q: x³sin?xcosx Find the second derivative of the function f (x) e-X(x-1)x

A:

Q: Derivatives of logarithmic functions Calculate the derivative of the following functions. In some…

A: Given- y=1log4x To find- The derivative of the above expression. Identity Used- logmn=loganlogam

Q: CURRENT OBJECTIVE Use logarithmic differentiation to find a derivative Question Find the derivative…

A: We need to evaluate the given derivative. The given function is in the form f(x)^(g(x))

Q: Use logarithmic differentiation to find the first derivative. Enter your answer without fractional…

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Q: 6. Find the derivative of the following function. You may want to use logarithmic differentiation.…

A: Explanation of the answer is as follows

Q: Find the 58th derivative of the function f(x)=cos(x). The answer is

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Q: Use logarithmic differentiation: 4x+7 y = х-5

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Q: 1. y=x(VT- x³ )

A: As we know that; The logarithmic rule: 1).loga·b=loga+logb2). logam=mloga The exponent rule: aman…

Q: Find an equation of the tangent line to the curve y = 9sin (6z) at the point (0, 1) Note: Write the…

A: Please see the below picture for detailed solution.

Q: 3 Find the derivative of: 4/a – Type your answer without fractional or negative exponents. Use…

A: Given function is

Q: y = In(In(x²) %3D

A:

Q: Find the derivative of the function. g(x) = log7(x) g'(x) =

A: We have to find out the derivative of the function g(x) = log7(x)

Q: Researchers have found a correlation between respiratory rate and body mass in the first three years…

A: Here, the given function is: log R(w)=1.85-0.48log (w)...(1)

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: