f (x) = x² ln x

Q: find the derivative of the log functions: y = ln(x√x2 – 6) f(x) = ln(2x/x+1)

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

A: Use derivative formula :- f(x) = lnx then derivative f'(x) =1/x

Q: Find the first derivative of y = e3x. 3e3x

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Q: Find the derivative of the function. y = x2 ln x

A: We use the product rule to find the derivative

Q: Find the second derivative. -5x f(x) = (5 + 4x)e" f"(x) =

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

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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: 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 second derivative of y=ln(e^x+e^-x)

A: Given query is to find the second derivative of the expression.

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: find derivative d/dx ln(3x/(2x+7)^1/2)

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

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Q: Find the second derivative of the function. 3root(x) + e^(6x)ln(x)

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Q: Find the derivative: y = x [ln(x) - 1] O ln(x) - 1 о O x ln(x) O In(x) O 1 + In(x)

A: Given y=x[lnx-1]To find dydx:

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

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Q: Find the derivative of f(x) = e-2 / x^2

A: Consider the function fx=e-2x2 Here, the objective is to find the derivative of the function.

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

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

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

A: on differentiation we get

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

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

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

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

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

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Q: FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM 3. y = ln (x3(x-1)/(x-2)2)

A: using the properties of log lnmn=lnm-lnnlnmn=lnn+lnmlnmn=nlnm As per our guidelines we are supposed…

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 first derivative of = (ln x)* 4 y

A: From the given function; y=lnx4 We know that; The Power law: ddxxn=nxn-1 The chain rule:…

Q: Integrate ∫(ln(x))/x

A: We need to integrate the given logarithm function:

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

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

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Q: Find the second derivative of the function. In(x) f(x) = + 6x? -4x° – 18xln(x) + 3-6 ln(x) + 12…

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Q: Find the derivative of the function: f(x)=ln[x^2÷(x+1)^3

A: Formula:

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

A: Given : fx = x3e3x

Q: Find the derivative. y =(ln(ln x))3

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

A: Given, f(x) = ln(8x + 9)  We have to find the derivative of the function.

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

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Q: Find the derivative of the logarithmic function. f(x) = 2x² In 2x f'(x)= 4in (2x) + 6

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Q: Find the first derivative y= ln(3x)

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

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Q: Using logarithmic differentiation, Show that y (x)= xa2" e®has no stationary points other than x =…

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Q: Find the derivative of the function   f(x)=ln(x3(2x+1)/x^2−3)

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Q: 2x+3) 17. f(x) =- (x² +1)*

A: topic - logarithmic differentiation

Q: Find the derivative of the logarithmic functions: y = ln ( 4x^3 - x^2 + 1^2)

A: Application of derivatives

Q: 11) Find the first derivative of y = (ln x)*

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

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 derivative of the function y = 1/ln(1 − 7x)

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

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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 f(x) = x/ln (x)

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Q: Find the derivative of the function y = ln 5x/(1 − x)

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Q: Find the derivative of the function. h(x) = log4(x + 9) h'(x) =

A: Topic = Derivative