Find the inflection point of the function f(x) = x14 ln(x)

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x3 +…

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Q: Find the derivative and second derivative of g(x)=x(100-x^2)^(1/2).

A: Since the placement of the radical sign is not clear whether it includes x or no, the question has…

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: compute the derivative f (x) = ln(4x2 + 1)

A:

Q: What is the derivative of the natural logarithm function ln x? How does the domain of the derivative…

A: Given: fx=ln x To find: (a) The derivative of f(x)  (b) Compare the domain of the derivative with…

Q: Find the first derivative (x^5+6x^3+10x)/√x

A: To find: The first derivative of . Formula used: Quotient rule of derivative: Power rule of…

Q: Find the derivative of function. y = log2(2x2 - x)5/2

A: Given, y = log2(2x2 - x)5/2 To Find the derivative of function.

Q: Find the second derivative of f(x) = (5+7x)e5". f" (x)

A: Topic :- Differentiation

Q: Calculate derivative F(x) = (7-10x) (7+10x) by expanding or simplifying the function df/dx

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Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x2 +…

A: The given function is ;  y=x2+9x-2  ...........................(1) differentiate with respect to x

Q: 5. f(x)=3x*e*

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Q: solve the derivative f(x) = e^3x / 1-x^3

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Q: Find the derivative 14x y = ln 3x2 + 1

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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: Find the derivative. y = ln(9x2 − 8)

A: Given The chain rule of derivative is given by

Q: Find the derivative: ln ((x+1)/(2x-1))^(2)

A: First simplify the expression using properties of lograthim than take derivative.

Q: Find f′(x). f(x)=5x4 ln x

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Q: Find the derivative of the function. g(x) = ln(|x9 − x|)   g'(x)=

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Q: Find derivative  f(x)=ln[((x-3)^2)÷((2x-1)^3]

A: Given:

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: Find the second derivative of the function. f(x) = e-x3/3

A: Given:fx=e-x33Differentiation formula:ddxex=ex.1

Q: Use the sign of the derivative to establish the inequaltiy ln(1 + x) > x − x2 2 , ∀x >0

A: SOLUTION-

Q: What is the inflection point of the function f(x) = x5 ln(x)?

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Q: Find the derivative of f (x) = ln| x3 - 10x2 + 8| .

A: Given        f(x)=lnx3-10x2+8

Q: Find the derivative of the function. f(x) = 2x2 In 2x f (x)= 2x[1+2 log(2x)]

A: fx=2x2ln2x

Q: find the derivative. y = ln(9x2 − 8)

A:

Q: Find the fourth derivative of f(x)=7x+ln(x)-188x

A: ddx(ax) =axlogaddxlnx =1xddxxn=nxn-1 ddxc = 0 c is constant

Q: Find the derivative of the function. f(x) = ln   1 2x8

A: Given,         fx=ln12x8

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x2 +…

A:

Q: • Use logarithmic differentiation to find the derivative of y = f(x) = 1-x)²V4+x² (3x-5)* • Find the…

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Q: Find the derivative: y=ln(x200e4ln(x^2)-4ln(x)+3)

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Q: Calculate the derivative and use logarithm rules to simplify   g(x) = ln((x^3 + 2x)(x+1)^10)

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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: f(x) = ln (1/x^6)

A:

Q: Using logarithmic differentiation, find the first derivative of y=x√2x .

A: We have to find the first derivative of the given function using logarithmic differenciation.  In…

Q: Find the derivative using logarithmic.   sq root of ((x2-1)/(x2+1))          for x>1

A: Here given for x>1

Q: Differentiate the function   f(x) = x ln x -x

A: Given: fx=xlnx-x

Q: Find the derivative of g(x) = ln(2x + 5)

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Q: - - Find the fourth derivative of f(x) = 5 + ln (x) — 127.

A: Topic = Derivative

Q: Using method of logarithmic differentiation, find the derivative of y = (x³ – 2x)(3r+5) -

A: We need to find the derivative of x3-2x3x+5. So,             x3-2x3x+5' Apply exponent rule:…

Q: What is the derivative of (ln(3x))/x^6?

A: Let y = (ln(3x))/x6.The derivative of y is with respect to x as follows.

Q: Find derivative of: h(x) = ln(2sec(x))

A: topic - derivative of a function  derivative of: h(x) = ln(2sec(x)) is tan x

Q: Find the second derivative of the f(x)=9+8x ln x function

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Q: Find the second derivative of 2x^2 ln (1/x^2)

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Q: Find the derivative of each function.ƒ(x) = 3x ln x2

A: Given:fx=3x lnx2ddxuv=uv'+vu'

Q: Find the fourth derivative of  f(x)=7x+ln(x)−125x.

A:

Q: Solve the derivative of f(x)=−1/√5 x.

A: we have to find the derivative. f(x)=-15x

Q: Find the derivative of the function. f(x) = (2x2 − x)ln x   f'(x)=

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

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