Differentiate the following equation.  f(x)= (ln x)3 ex

Q: 9)/6)= (2x+1)*

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: 3.) y = log2 – 6·x³

A: Explanation: Given that,  y=log2(-6x3)

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: Find the derivative of the exponential function. Y = x'e-5x dy dx

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Q: Find the derivative of the function F(s) = In(9 ln(8s)). F'(s)

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Q: Differentiate the following function.   y = e2 ln (x+1)

A: We have given y=e2lnx+1 Then, dydx=ddxe2lnx+1=e2dlnx+1dx=e2×1x+1=e2x+1

Q: part ii, thank you very much.

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Q: Find the derivative of the following function. ​[ln(x^8)]3

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Q: What is the value of ln[f'(2)] if f(x) = e^x?

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Q: Determine the first derivative of the ff. function y = ln| le* – 1/

A: We have to find the first derivative of the function: y=lnexex-1 We know the property of logarithm,…

Q: Find the derivative of the function.

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Q: Differentiate the following function.   y = ln (1/e1x)

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Q: Find the derivative of the function f(x)=ln(10e^13x−7).

A: Note: Since you didn't use parenthesis while writing the function, there can be two possibilities…

Q: Find the derivative of the function f(x) = ln(e" + 5).

A: We have to find the derivative of the function -          f(x)=ln(ex+5) Here , we will use the…

Q: Find the derivative of f(x) = 8e7x +e=x? f'(x) =

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Q: Find the derivative. y = e(ln x)2

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Q: Find the derivative of the function. y = log 4 V3x +2

A: The Answer is Option A

Q: Find the derivative of the following function.: y=ln(x2+4)2π

A: The given function is,

Q: Find the derivative of the following functions:     1. y= 3 ln (x)?

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Q: Find the derivative of y with respect to the independent variable. x8)n 5) y =log 5 x-8

A: using the fact of logarithmic  logax=lnxln(a) find the derivative

Q: Find the derivative of each function.ƒ(x) = ln(x2 + 1)

A: the given function is: f(x)=lnx2+1 we have to find the derivative of the given function.

Q: Differentiate the Following Function   y = ln(x)/x^2

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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: find the derivative of ln(3x^2+e^x)

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Q: Find the derivative of f(x)=(x+4)e^(5x)

A: We have to find the derivative of f(x) ,where f(x) is given by

Q: Find the derivative of f(x) = ln (x* /8 – 6x), using the properties of the logarithm. Provide vour…

A: We will find the derivative of the given function f(x)=lnx48-6x by using the properties of logarithm…

Q: Calculate the derivative of the following function. y = log 11(x-11) d. dx log 11(x- 11) =

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

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Q: ) Find the first derivative: b) y = log7 v1+x

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Q: find the first derivative of   F(x) = e(x+5)

A: Given,

Q: calculate the derivative of the following function. [ln(x^8)]^3

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

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Q: (b) Find the derivative of y = log,(5x')+log, (sin.x)

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Q: Find the derivative of the function. f(0) = 3 ln(6)Pe

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Q: Find dx by logarithnic differentiation. (3x-2)(x"+3)

A: d(logx)/dx = 1/x

Q: Calculate the derivative of the following function. y=6 log 3 (x - 9) d 6 log 3 (x - 9) =D dx

A: d/dx [ f(x) ] = 1/ f(x) * d/dx[f(x)]

Q: What is the derivative of the given logaithmic function y = log3 (2x“)? 2 In (3z) 2 A. æ In (3) 2 В.…

A: Let's find.

Q: The derivative of the function y = cos(x ln 3)log3 (sin x) is:

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Q: Find the derivative of the function

A: given h(x)=log3xx-12we have to find the derivative of the given function

Q: Compute the indicated derivative. d + x)(x5 – x)]. dx x = 1

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Q: obtain the ava dient to Cu gra equation givey by メ= ln and sigh '2t wh 3.

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Q: Find the derivative of the function. h(x) = ln(2x2 + 1)

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Q: Find the equation of the tangent line to the function f (x) = e*²-1 ln(x + 1) when x= 0.

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Q: Find the derivative of the exponential function f ( x ) = 5x 2 e 7x

A: Given function: f(x)=5 x2 e7x     Calculate the derivative of f(x): f(x)=5 x2 e7x   Take the…

Q: Find the derivative of the function f(x) = 3 ln(x) + e5ª. df = dx

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Q: Find the derivative of the following: 8 f(x) = 3 (log5 ( – 2/x7 + x))* - e(v3³n²)

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Q: Find the higher-order derivative. (4 log 2(x – 5)) dx2

A: Given, d2dx24 log2x-5

Q: Find the derivative of the function f(x) below. f(x)=ln(5−e^(−4x)) f′(x)=

A: Explanation: Given that, f(x)=ln(5-e-4x) Differentiate both sides with respect to x.…