For the following exercises, use logarithmic differentiation dy to find xp 346. y = x 347. y = (sin 2x)4* 348. y = (In.x)Inx log 2x 349. у%3D х

Q: Find the following derivatives. (a) y = log;(re")

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Q: The problrm is to Find the indicated derivatives.

A: (a) The given function is ,

Q: = (2),f %3D (त.ऋ) uj = (x)f 6(x+1) Break up the following function using laws of logarithms, then…

A: Given function is as below : f(x)=ln(6(x+1)x3)

Q: Find the derivative of the function h(t) = log5(4 − t)2

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Q: Differentiate the following function.   y = e2 ln (x+1)

A: We have given y=e2lnx+1 Then, dydx=ddxe2lnx+1=e2dlnx+1dx=e2×1x+1=e2x+1

Q: What is the derivative of e7 ** (4 x*+11)3 y = (16 x2+8 x-5)5 vith respect to x? Hint: Take the…

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Q: For the following exercises, find the derivatives for the functions. sinh (x) 410 e

A: Given :y=410esinh-1(x)

Q: For the following exercises, use logarithmic differentiation to find dy/dx. 351.  y = x^(cot x

A: Consider the provided function, y=xcotx Find the derivative of the provided function by using…

Q: Find the derivative of the function h(x) = log5 (x/x − 1)

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Q: In the given question , use logarithmic differentiation to find dy/dx:- y =x2/x

A: Given: y=x2x Now, To find the derivative of the given function differentiate with respect to x we…

Q: If f(x)= x 8/ ex (x−1), find f′(x) using logarithmic differentiation.

A: To find the derivatice of the given function using logarithmic differentiation

Q: For the following exercises, use logarithmic differentiation to find dy/dx. 353.  y = x^−1/2…

A: Given function is y=x-12x2+3233x-44ln(y)=lnx-12x2+3233x-44ln(y)=lnx-12+lnx2+323+ln3x-44…

Q: Find the derivative of the function. f(x) = e* logg(]x|)

A: Using Derivative rule of product of two functions.

Q: Find the derivative of the function.

A: Differentiation of the function with respect to t helps to find the derivative. Since the given…

Q: Q3\Evaluate the limit or derivative using properties of logarithms where x3 d needed. dx x5+1

A: Given ddxx3x5+1

Q: for the function f(x) = 2 cos(45x)o , determine: the instantaneous rate of change at x = 12. you…

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Q: Find the derivative of y=log e. O a. -1 O b. 0 C. 1 O d. 2.72

A: Let us first simplify the given function and then take derivative y=logex

Q: Find the derivative of the following function using logarithm laws. (2x2 + 3) y = (x – 1)2

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Q: dy Use Logarithmic Differentiation to find Y = xVT

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Q: For the following exercises, use logarithmic differentiation to find ar. y =x 1) xv (Inx 罪+迎 3) xv…

A: Option 3 is correct See the calculation below

Q: D) Find the derivative of f(x) = log3 5x² + 1

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Q: A. Compute for the derivatives of the following functions using logarithmic differentiation. 2. r(8)…

A: Given that 2. rθ=cosecθπθ3. gy=y2tan-1ylnyTo find :derivative of function Solution:2.…

Q: For the following exercises, use logarithmic differentiation to find dy/dx. 347.  y = (sin2x)^4x

A: In logarithmic differentiation, we natural log both sides and then differentiate.…

Q: In the given question , use logarithmic differentiation to find dy/dx.   y = (1 - x)1/x

A: Consider: y=1-x1/x. Calculate dydx. Take logarithm both sides and apply property: log ab=blog a. log…

Q: ) Find the first derivative: b) y = log7 v1+x

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Q: Q2 a) Find the derivative using logarithmic differentiation. x³(2x - 1) (5r+1)7(r+1)

A: topic- derivative of a function Note: As per bartleby guidelines, we are supposed to solve only…

Q: Find the derivative of f( x ) = a° log (x + 7.5). f'(x) =

A: We have to solve

Q: For the following exercise, use logarithmic differentiation to find dy dx y=xcotx

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Q: A. Compute for the derivatives of the following functions using logarithmic differentiation. 2. r(8)…

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Q: Answer all the following questions dy for the function y = x' dr Find the derivative 7z by using…

A: we have to find dy/dx

Q: the following exercises, dy logarithmic differentiation to find 8. For use dx (a) y=x"

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Q: dy Find da using logarithmic differentiation if y = (2a)",

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Q: use logarithmic differentiation to find thederivative of y with respect to the appropriate variable

A: Differentiation: y=((t+1)(t-1)(t-2)(t+3))5 Taking Log on both sides we…

Q: As picture sho w

A: We need to find the derivatives of the given expression.

Q: y = ln (xm=)

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Q5 Answer with all details, By using Logarithmic find the 3 x(x-2)sinx derivative of y = (x2+1)Vsecx

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Q: Use logarithmic differentiation to differentiate the following fund f(x) = e*(6x – 1)8 f'(x) =

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Q: Q4. Use logarithmic differentiation to find y'. Vx²-1-sin x 3 x+2 (i) y = xsecx (ii) у %3D (iii) y =…

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Q: r(0) = (csc 0)™º h(x) — х*** p(y) = Vx

A: Given that: r(θ)=(cscθ)πθ   NOTE: As per our answering guidelines, we can only answer 1 question or…

Q: Q5 Answer with all details, By using Logarithmic find the x(х-2)sinx derivative of y = (x2+1)vsecx

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Q: Find the derivative of the function

A: given h(x)=log3xx-12we have to find the derivative of the given function

Q: Use logarithmic differentiation to compute f'(x), where e* (x² + 1)* f(x) = a³(1 – x)5 -

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Q: Differentiate the following using logarithmic differentiation y = x=

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Q: for the following exercise, use logarithmic differentiation to find dy/dx. y=(x2-1)ln x

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Q: If y = x*ec{a), find y' using logarithmic differentiation.

A: An equation such as y = f(x) is given. We have to find y' by using logarithmic differentiation. To…

Q: Find the derivative of the following functions from first principles. (i) x? (ii) e* (iii) log (x+…

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Q: For the following exercises, use logarithmic differentiation to find a. y=x | 1) (+) | 2) xv= () 3)…

A: Using Logarithm Differentiation

Q: d for the function dx f(x) = (8x – 5) (3æ² + 7)* Find using Logarithmic Differentiation

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Q: Find each derivative 1)f(x) = e*+&r+1 2) g(1) = In(?* – \H x*(x7–3)² . 3) y = In(2 Vx+10 ) [Hint…

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