13. Use Logarithmic Differentiation to find the derivative dy/ dx for f(x)= x

Q: Find the derivative of the given function. f (x) = sin(ln x)

A: The given function is fx=sinlnx We have to find the derivative of this function.

Q: Find the derivative of the function. f(x) = In(sinh(x)) f '(x) =

A: f(x) = ln(sinh(x)) here we use chain rule f'(x) = cosh(x)/sinh(x) f'(x) = cot(h(x))

Q: 3. Use logarithmic differentiation to find the derivative of y with respect to the given independent…

A: we have to find the derivative of y by using logarithm.

Q: B) Using the definition of derivative, find -if y = dx 1-x

A:

Q: 3) Use logarithmic differentiation to find the derivative of the function a) y = Vxe&*x? + 1)"

A: Answer

Q: Compute the derivative. Use logarithmic differentiation where appropriate. d/dx = (1+1/x)x

A:

Q: Compute the derivative f'(x) for f(x) = log(x*) sin(x³).

A: Topic - derivative

Q: Find the second derivative for the functions defined as follows g(x) = 4x(ln x)

A: We have to find second derivative of the function: gx=4x lnx Since two function are in product so we…

Q: (14) Use log differentiation to find the derivative of the function. Y = (sin (7x))*

A: Here, the given function is: y=(sin(7x))x Taking logarithm on both sides, we have: ln y=ln(sin(7x))x…

Q: Find the derivative of f( x ) = 2° log3(z + 2.5) f'(x) =

A: The first derivative of the function is . The product rule of the differentiation is .

Q: Find the derivative of function. y = log(2x)

A: A composite function is differentiated as follows: ddxfgx=f'gx·g'x

Q: Find the derivative of k(x) = log3(x) cos

A:

Q: part ii, thank you very much.

A:

Q: (4) Use logarithmic differentiation to find the derivative of the following function. y = x¹/x

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Q: L(x) = In(x)+log,(x)

A: Used formulas : ddx(logax) = 1x ln a ln x = loge xloge e = ln e = 1ln 5 =1.61

Q: 11. Use logarithmic differentiation to find the derivative of the function. y = xsinx

A:

Q: 3. Use logarithmic differentiation to find the derivative of y with respect to the given independent…

A:

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: Can you help me with this problem step by step?

A: The given function to be derivated is,

Q: Can you help me with this problem step by step?

A: Given:

Q: 3. Use logarithmic differentiation to find the derivative of y with respect to the given independent

A: Part a,Given,           y=x2+1x-12

Q: Find the derivative of the function.

A: We have a nested form of functions . We have to use chain rule of differentiation to find the…

Q: 1) Find the derivative of y = e" tan x

A: As we know that; The chain rule; fgx'=f'gx·g'x And ddxex=exddxtanx=sec2x Given: y=etanx

Q: 16. Use logarithmic differentiation to find y'. (a)= (x2 + 1)tan(=) (b) y = (sin (3z))VE

A:

Q: Find the derivative of the function g(x)= tanx/e^x.

A: This problem can be solved by the quotient rule in derivatives.

Q: 2) Let y = xe* and find the first derivative y'. Where is y'>0?What does this tell you about the…

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Q: Find the derivative of the function g(x) = log3 √(1 − x)

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Q: Find the derivative, if y = (log x)" +(sin x)™* -x %3D

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Q: find the derivative of: f(x)= x^(1/x) using logarithmic derivatives

A: Given function

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

A:

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: y = (cos(x²))*

A:

Q: Find the derivative of the function f(x) = 5ª+x² + log3 (In x). %3D

A: To find the derivative of the given function.

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

A: Given: fx=xcosx for finding second derivative of given function, we find first derivative then…

Q: What is the Derivative of the function; y = log10(1 − 4 tan x)

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Q: 3// By using logarithmic differentiation and with respect to independent variable x, find the…

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Q: Find the derivative of the function. y= log 4- x

A:

Q: x(2x+3) 17. f(x) =- (x° +1)

A:

Q: What is the derivative of: y = ln ln(1 − cos x)

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

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Q: 2. Use Logarithmic Differentiation to find dy/dx for y = 3 x(2x+5) (x²+1)²

A: Explanation of the answer is as follows

Q: 2. Use logarithmic differentiation to find dy/dx. ソミx

A: find the derivative

Q: 3. Differentiate y = xcosh x (Use logarithmic differentiation)

A:

Q: 11. Use logarithmic differentiation to find the derivative of the function y = xsinx

A: Given function is : y=xsinx To find the derivative.

Q: 24. Find the first order derivative with respect to x of the function u = log(x+ x .

A: The solution for the above question is as shown below.

Q: Find the derivative. f(x)=tanh(2 + e^3x)

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Q: dy Y= x ²x-> メ =人

A:

Q: 3. Use logarithmic differentiation to find the derivative of the function. (2x – 1) Vx+1 y =

A: giveny=(2x2-1)5x+13taking log on both sidelogy=log(2x2-1)5x+13using log…