f(x) = ln (1/x^6)

Q: Differentiate the function. f(x) = 5x ln(3x) − 5x

A:

Q: 1) Using method of logarithmic differentiation, find the derivative of y = (2.x² + 1)(2=-3)

A: Given: Y = (2x2+1)(2x-3)

Q: Use logarithmic differentiation or an alternative method to find the derivative of the function. y =…

A: Given that  y=(sin9x)^(lnx) To find the derivative of y

Q: Locate any relative extrema and points of inflection. Use a graphing utility to confirm your results…

A: Here, By taking derivative Now, find a critical point by considering y’=0

Q: Suppose we want to use logarithmic differentiation to calculate the derivative of y=x²x . As a first…

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Q: Sketch the x^2 And the derivative And integration

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Q: Find the derivative of ƒ (x) = 8ª ln (x).

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Q: Find the equation of the line tangent to the graph of y = 4 ln(x) at a = 2. Enter exact values.…

A: detailed solution is given below

Q: 2X Y=ln (3") +sec (Inx)+tan (ln5x)

A: We will differentiate the function and simplify.   The detailed solution is as follows below:

Q: second derivative of  y=x(x-4)3

A: Given function is y = x(x – 4)^3. Differentiate with respect to x on both sides.

Q: Use logarithmic differentiation or an alternative method to find the derivative of the function. y =…

A: Take log then differentiate

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: Evaluate the derivative: y = log2(log2x)

A: It is given that,

Q: Locate any relative extrema and points of inflection. Use a graphing utility to confirm your…

A: Maxima or minima: y = F(x) is any function and let assume x = a is any critical point then, If y'…

Q: first and second derivative of f(x)=x^2/(1+e^x)

A: To find first and second derivatives we will use product rule and quotient rule of derivatives. For…

Q: 5th derivative of y = log x^5 to the base 2

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

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Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

A: y = (lnx)lnx Take log to the natural base e on both the sides to get,

Q: 4. Use logarithmic differentiation to find the derivative of the function y = x c0sx.

A: So we are going to take natural logrithm to both side and solve them so I'm providing hand written…

Q: Differentiate the following function.   y = ln(3x+1) - ln 3

A: We need to differentiate the following function.   y = ln(3x+1) - ln 3

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: Integrate ∫(ln(x))/x

A: We need to integrate the given logarithm function:

Q: What's the derivative of ln(ln(ln(lnx^3)))

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Q: compute the derivative f (x) = ln(csc−1 x)

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Q: x(2x+3) 17. f(x) =- (x° +1)

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Q: 7. * y = ln x X

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

A: Given: fx=xlnx-x

Q: Find the derivatives of function (log x)tanx

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Q: Molar volume is a function of temperature and the pressure or V = f (T, P) ; and its total…

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

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Q: Use logarithmic differentiation to find the derivative of the function. y = (square x) exponent 9x

A: Use logarithmic differentiation to find the derivative of the function. y = x2e9x

Q: Find the equation of the line tangent to the graph of y = 6 ln(x) at x = 3. Tangent Line: y =

A: We have to find the slope of tangent at first.

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: Differentiate the function. y=ln(x5sin2x)

A: Given function:

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

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Q: Find the nth order derivative of the natural logarithm function y=lnx.

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Q: What is something interesting about integrationa and derivatives? Why is it interesting?

A: Given What is something interesting about integration and derivatives? Why is it interesting?

Q: Differentiate the function. h(x) = ex9 + ln(x)

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

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Q: The L'Hopital rule and The derivative of the exponential function. lim (ex + x³)*:

A: Use l hospital rule

Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

A: Applying natural logarithm on both sides, we get

Q: 3 sin-xe 5%

A:

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: Determine the equation of the tangent line to •x³ +ln x the graph of f(x) at x = 1. [² = √/3 + 5t5dt

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Q: Find the derivative of the function. f(x) = ln(4x² – 3x) - f'(x) = Preview %3D

A: Applying chain rule of differentiation