Find the anti-derivative of g'(x)= log1/2(X)

Q: Find the derivative of the logarithmic functions: y = ln (tan^2 θ )

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Q: Find the derivative using the logarithmic y=ln (x+1)/x^2-2

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

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

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Q: find the derivative of y with respect to the givenindependent variable.

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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: find the derivative of the function by the Logarithmic differentiation method.   y=(cos(x))ln(x)

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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: Compute the derivative in terms of log for y=log(xe^(-3x))

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Q: Find the derivative of the logarithmic function. 6 + y = In

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Q: Compute for the derivative of the function using logarithmic differentiation g(y) =…

A: Logarithmic differentiation: - The use of logarithms to derive the derivatives of some difficult…

Q: f (x) = ln(x · 5*)

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Q: Find the derivative of f(x) = ln∣cos x∣.

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Q: Find the derivative of y =log2x

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Q: 2. Use logarithmic differentiation to find first derivative of y (sinx)r

A: Formula used: ddx[u(x)v(x)]= u(x)v(x).ddx[ln(u(x)).v(x)] ddx(u.v) =dudx.v + udvdx

Q: Find an expression for the derivative of the exponential function y=ex using the definition of…

A: To determine the derivative of exponential function y=ex using definition of derivative.

Q: compute the derivative. f (x) = ln(ex − 4x)

A: We can use chain rule ( Nested function form ) of differentiation to find the derivative. According…

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 first and second derivatives of f(x) = ln (x+1)

A: f'(x)=1x+1 and  f''(x)=-1(x+1)2

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 of z=(ln5)e^x dz/dx=

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Q: Use log differentiation to find derivative of y with respect to the given independent variable

A: Topic = Derivative

Q: Find the second derivative of the function.

A: Given the function: g(x)=x + ex  ln(x) We have to find the second derivative of the function. Let's…

Q: What is the first derivative of the expression (xy)× = e?

A: See the details solution in below

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

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Q: Find the derivative of the logarithmic function. 3x f(x) = In %3D x+2,

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Q: x(2x+3) 17. f(x) =- (x° +1)

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

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Q: Find the second derivative of the function. g(x) = √x + ex ln x

A: Consider the given function gx=x+ex lnx Now, differentiate the given function with respect to x…

Q: Find the derivative of the function  f(x)= e^-3x ln x

A: Given function is

Q: Find the derivative of y = log2 4x Ox/In4 O 1/xln4 O4/1n4 @ 4/xin4

A: To solve the following problem

Q: Determine the derivative: y = log (3x2) (01)प य log (3) ** In(10) 6 log (Sx) r In(10) Oy= 18x In(10)…

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Q: 1. Use logarithmic differentiation to find first derivative of y = xsinx

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: find the derivative of y with respect to the givenindependent variable. y = log4 x + log4 x2

A: Given: By using logarithm base change rule, the function can be rewritten as follows,

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 second derivative of 2x^2 ln (1/x^2)

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Q: Find the derivative of g(x) = e-" cos(x²)

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

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Q: f y = (sin x)x b

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Q: What is the first derivative of g(x) = ln #*+1? x2

A: Derivative of ln(x):       ddx(ln(x))=1x Division rule of derivative:-…

Q: 2) Use logarithmic differentiation to find the derivative (Vx + 3)(x – 7)5 f(x) : (x3 – 4) - -

A: Given function is fx=x+3x-75x3-4 Given function can be re-written as: y=x+3x-75x3-4 Taking logarithm…

Q: 4.x³ (log3 x)° b. y = (csc5 x) /sinh(2x – 8)

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Q: find the derivative of y with respect to the givenindependent variable. y = log5 ex

A: On simplification, we get

Q: Find the derivative of f(x) = log(-6x* – 6x + 5) at the point x = 2. Provide your answer below:…

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

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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: Find the derivative of f(x)= ln x^2/x^2+1

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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…

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

A: Topic = Derivative