Suppose we want to use logarithmic differentiation to calculate the derivative of y=x²x . As a first step, we take the natural logarithm of both sides, and get.. O In y = x In(2x) O In y = 2x ln x O y = In(x²×) O In y = (In x)²×

Q: In(x) (1 point) Find dy/dx using the method of logarithmic differentiation when y = (5+3x²)**. dy/dr…

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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: 3 7 - use logarithm differentiation to differentiate to find y prime (dy). y = x

A: The given function is, y = x.Take log on both sides of the function.

Q: What is the first derivative of s(x)=(6x)^3x at x=3? Enter an exact answer in terms of a natural…

A: We will take the logarithm with base e and then find the derivative with respect to x and then…

Q: 1. a) Use Logarithmic differentiation to take derivative of (x3 + 1)4 sin? x y = f(x) =

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Q: 3. Use properties of logarithms and/or logarithmic differentiation to find the indicated derivatives…

A: a.)  y =ddxlnx2   ⇒y =2ddxlnx =2x                                                  ln(ab)…

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

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Q: Use logarithmic differentiation to find the derivative of the following: 8. h(x) = 25x34x² ans.…

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Q: (2² + 3) (3z – 4)* Use logarithmic differentiation to find the derivative of y =

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Q: find the derivative of y with respect to the givenindependent variable.73.y = log2 5u…

A: we have to find the derivative of y with respect to the given independent variable. (73) y=log25u…

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: Find the derivative of y with respect to the independent variable. x2 y =log 8 Sx+1 1 8x+1 O In8 x2…

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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: Find an equation of the tangent line to the graph of the function at the given point.

A: Here given function as y=log102xory=log 2xlog 10 Differentiate with respect to x dydx=log2xlog…

Q: Use logarithmic differentiation to get the dy/dx of: y = (20^x) tan^-1 (x^2 - sinh 2) / (cosh^3 x)…

A: Use logarithmic differentiation to get the dy/dx of: y = (20^x) tan^-1 (x^2 - sinh 2) / (cosh^3 x)…

Q: )=1/x. Using this, compute the

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Q: Show that In(x") = y In(x) for all x, y > 0, only using the rules of derivative for the natural…

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Q: Evaluate the derivative. * d (log10 (x)) dx (In(10)) O Option 1

A: we have to find the derivative

Q: Find the derivative of the following function. y= 4 ln x – In(x-8)

A: we have to derivative

Q: Find the derivative of the function. f(x) = 2x2 In 2x f (x)= 2x[1+2 log(2x)]

A: fx=2x2ln2x

Q: Calculate the derivative of the function y = (6^6 + 3)^x using the fact that b^x = e^(x ln b) and by…

A: Consider the given function:

Q: The derivative of the function y = cos(x In 3) log3(sin x) is:

A: Given,            y=cosxln3log3sinxTo find : The derivative of the given function.

Q: Find the derivative using logarithmic differentiation. x(x+4) (5x + 1)(3x +7) y =

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Q: Use logarithmic differentiation to find the derivative of these functions. (a) y = Vre*´(x² + 1) 10…

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Q: Find an equation of the tangent line to the graph of the logarithmic function at the point (1, 0). y…

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Q: Find the first derivative of the following: 1. y= y = Ine-tanh² 2x 2. Y= sech(5x-1)tanh(5x-1) 3.…

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Q: 2) Use logarithmic differentiation to find the derivative of: /(x) (r²+3r + 4)*+1,

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Q: if y = xsin(x) use logarithmic differentiation to find y'

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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)

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Q: Find the derivative of the logarithmic function. y = In Isec x + tan x|

A: We have to find the derivative

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

A: *As per our guidelines we are allowed to answer only 1 question at a time. Kindly please re-post…

Q: 3. Find the derivative of (x² + 3) (3x – 3)² Y = Vrez+1 Hint: Use logarithmic differentiation!

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Q: Use logarithmic differentiation to find y′, given y = e2x xx √(x3 + sinh(3x))

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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: differentiation

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Q: Use logarithmic differentiation to find the derivative of (x – 1)(x – 2) · · (x – n) - f(x) where n…

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Q: 2. Use the logarithmic differentiation to simplify completely before finding the derivative.…

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

Q: Find the first derivative of f = (h+2)² (2h+1) h²+3 V using logarithmic differentiation

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Q: Find the derivative of the function. 8 f(x) =x" log 6x .7 ,7 O A. X +8x log ,x .7 O B. In 6 + 8x log…

A: According to product rule of differentiation ddxuv=vddxu+uddxv and according to power rule of…

Q: 2x+3) 17. f(x) =- (x² +1)*

A: topic - logarithmic differentiation

Q: Use logarithmic differentiation for find for y = (x-12)² dx x-8

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Q: Find the derivative of f (x) = In(3x² – x)³ in two different ways; (a) with the chain rule %3D | and…

A: Given fx=ln3x2−x3aUsing Chain Rulelnfx'=1fxf'xDifferentiate w.r.t…

Q: find the derivative of y with respect to the given independent variable. 1. y = 2^x    2. y =…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Find the derivatives of x log x.log(logx)

A: We have to find the derivative of-  x logx.log(logx)

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: Use logarithmic differentiation to find the derivative of y= (2x+1)^4 (3x+4)^5

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