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

Q: Find the derivative of the function.   f(x) = x5 ln(x)   f'(x)=

A: We have to find the derivative of function: fx=x5lnx Here there are two function in multiplication…

Q: Find the derivative of the function f(x) = x√ln x

A: Here given Use the formula of product rule of derivatives as

Q: Find the derivative.

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Q: Find the thousandth derivative of  f(x)  = x e-x

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Q: Find the derivative of the function f(x) = ln(3x2 + 2x)

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Q: Find the second derivative of the function.         f(x) = csc x

A: Differentiating with respect to x, we get

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: 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: What is the derivative of 2(x)ln(x)+x

A:

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 the function f(x)= x^4 x sec(x)

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Q: Determine the derivative of f(x)=ln(x√x^2+1).

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Q: f (x) = ln(x · 5*)

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

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Q: find derivative y=square root of (1+ x times e^-2x)

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Q: Find the derivative of f (x) = 9ª ln (x).

A: Given: f(x)=9xln(x)

Q: what is the differentiate of f(x)=ln x

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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: how do you find the second derivative of f(x)=ln(x)?

A: on differentiation we get

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: Use logarithmic differentiation to find the derivative: ln (x)+ln (y^2)=3

A: we can find the derivative using logarithmic differentiation as below

Q: What is the first derivative of f(x) = ]n( 3x´+7x 5x

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Q: State the derivative rule for the logarithmic function ƒ(x) = logb x.How does it differ from the…

A: Given: fx=logbx for finding derivative of given function, first we convert it's base in e then…

Q: Differentiate the function   f(x) =    1/  ln x

A: Given function is fx=1lnx We know that 1an=a-n So, given function can be written as fx=lnx-1 Before…

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

A: SOLUTION-

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

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Q: Solve the derivative of f(x)=−1/√2 x +2x

A: Given- fx=-12x+2x To find- The derivative of the above function. Formula used- Using the power rule…

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 1600th derivative of f(x) = xe¯X. f(1600)(x)

A: The given function is fx=xe-x. Observe that,…

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

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Q: Find the first derivative of f(x) =x3/e3x

A: Given : fx = x3e3x

Q: What is the derivative of: log x/(x+1)

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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 the first derivative of ƒ(x) = 7x¹⁰² cot(x). 10 f'(x) =

A: Given :fx=7x10excotx

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 2x^2 ln (1/x^2)

A:

Q: What are the domain and range of f (x) = ln x?

A: Given function:   Domain: The domain of a function is the set of  input  values for which the…

Q: 4. y=ln(4x' +5)

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Q: Find the derivative of f(x) Give answer in exponential notation with positive exponents

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Q: Find the second derivative. f(x) = (5 + 4x)e−3x   f''(x) = ?

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Q: differentiate the function: f(x) = 6x ln(5x) -6x f'(x)=

A: Use sum rule for differentiation.

Q: What is the derivative of log (x²)? ○ 2x-log(x²) 1 x² 2x O log(2x) O exp(2x)

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

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

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