Find the derivative of a logarithmic function of any base using properties of logarithn Question (x)³ sin (3x) Find the derivative of f(x) = logo using the properties of logarithms. 10x – 10 Provide your answer below: f'(x) =|

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: 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: se logarithmic diferentiation te find the derivative of with respect bo the given independent…

A: Differentiation

Q: Find the first derivative of the given function by a.definition or increment method b.formula or…

A: Given:  To Find: The first derivative of the given function by  (a.) definition or increment…

Q: An unknown function's derivative is h'(x) = 3x-2 - 6. Using your understanding of the derivative…

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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: Find the derivative of the function. y=log6(1/x6)

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Q: Find the derivative of f (») – 4 sin³ (y5). Enclose arguments of functions in parentheses. For…

A: Given: Function f(y) = 4 sin3 (y5) To find: Derivative of the  given function Concept Used: We…

Q: Logarithmic Differentia tion Use logarithmic differentiation te find the derivative of H with…

A: Explanation of the answer is as follows

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

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Q: Use logarithmic differentiation to find the derivative of the function. y = square root of (x-5…

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Q: Find the derivative of the function. g(x) = ln(8x + 3) g(x)=

A: We have to find the derivative of the function.g(x) = ln(8x + 3) Here we will use the formula of…

Q: Logarithmic Diffetentia tion Use logarithmic differentiation te find the derivativeof Hwith respect…

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Q: Use logarithmic differentiation to find the derivative of the function. y = xx + 4   y ' =

A: Solution -  Given function - y = x(x+4)…

Q: (cos² z) /3x²+7 3. (3x+1)5/2x+5 3x2+7 roblem 2. Use logarithmic differentiation to find the…

A: Given:

Q: cos (x) V3x² + 7 (3x + 1)5 /2x + 5 7. Use logarithmic differentiation to find the derivative of f(x)…

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

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

Q: Using properties for Logarithmic function, Only Simplify without differentiation the following…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Find the derivative of the function y - 4 sec¯' (x + 2). (Use symbolic notation and fractions where…

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Q: Question -2x – 4 Find the derivative of the function y = 3æ³, 3x3 using logarithmic differentiation.…

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Q: Use logarithmic differentiation to find the derivative of the function. y = x3 sin(x)   Find the…

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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: find the logarithmic differentiation of y=(x4+2)e^-x

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

A: Given,           The function is y=log109x .

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

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Q: Calculate the derivative of y with respect to x. Express derivative in terms of x and y. e3xy = sin…

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Q: Use logarithmic differentiation to find the derivative of the function. V5 + 4x2 y = 3 Vx2 + 1 y' =

A: Given that: y=5+4x2x2+13

Q: (10) Use logarithmic differentiations to find the derivative of (За? — 2)5 (2x35)7(41)-11 y

A: The given function is

Q: 1. f(x)= x²(2x+3) (x²+1)*

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Q: Find the derivative of the natural log expression in the photo: f(x)=4^xln(x)

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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

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

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Q: Find the first derivative of y = (ln x)* .3 Find the first derivative of f(x) = 3x e

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Q: 3- 4ー トy In Sin &CoSG o Cos e / +2 In0

A: In the above question we have to find the value of the function with logarithmic differentiation.…

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

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Q: Use logarithmic differentiation te find the derivative of {» with respect bo the given independent…

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Q: 3. Use logarithmic differentiation to find the derivative of y = x". (Your answer should be…

A: To differentiate the below equation using logarithmic differentiation. y=xx2

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: a) Find the derivative of each function. Show all your work and simplify the result completely. en…

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Q: 5. (No Calculator. Show all your work) Find the derivative of the function. (a) f(x) = tan(x³) – cos…

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Q: y = In(In(x²) %3D

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Q: A. Find the derivative of the given function at a given number 1. y 3x-2 at f'(1) *Derivative of…

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Q: Find the derivative of each function. Show all your work and simplify the result completely. a un…

A: We can answer both the question as below.

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: Find the derivative of the function. f(x) = ln(4 − x6) f '(x) =

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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: