If e (3x + 2)e2* dy 3 4 using logarithmic differentiation. (b) show that +2 2.x-1 %3D (2x-1) dx 3x +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: find f'(x) of (((3x^2+1)e^x^2)/(2x+1)^5)^5 using logaithmic differentiation.

A: The given function is,

Q: Find derivatives of the following functions: y= (4x + 3)/In[2x* +3x -s] y= 3(e" +e*Xx² - 4)

A: ANSWER :

Q: Find the derivative of the composite natural exponential functions 1. f(x) = In( 2. g(x) = In(v³ +1)…

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Q: Find dx * for y = (x² + 2)°(1 – x³)* using logarithmic differentiation.

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Q: Question 15 Find the derivative of y = 32x+5 A. 2 ln 3 (3²x+5) B. In 3 (3²x+5) C. 2ln 3 D. 32x+5 O B…

A: Given function is y=32x+5. To find: Derivative of the given function y=32x+5. Formula used: 1)…

Q: The graph of x4 + 2x2y2 + y4 = 9x2 - 9y2 is a lemniscate. Find dy/dx by implicit differentiation.

A: The graph of x4 + 2x2y2 + y4 = 9x2 - 9y2...(1) is a lemniscate. To Find dy/dx by implicit…

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: II. Determine the derivative of the ff. logarithmic functions 7. y = 12x² log 8x 8. y = In 25x %3D…

A: Solution is below

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: dy if y dx (22 – 3) /r³ + 4 x6 – 4x + 2 Using logarithmic differentiation, find -- NOTE: Eapress…

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Q: 1. Find the derivatives of each of these functions: a. y = ln (4x² + 4) b. y = 22² c. y = 25x+7…

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Q: Find dy/dx by implicit differentiation if x^3 + x^3y + 4y^2 = 6 Find y' by logarithmic…

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Q: Q1: Find the derivative of the functions. 5- y = (csche)(1- In csche) 6- y = log3 (1 + 0 In 3) %3D

A: 5. y=cschθ1-ln cschθ6. y=log31+θ ln3

Q: 1. D, (x') 2. D, (5x) 3. D. (x-2x)

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Q: Find Dx [(πx^4−2√x+√3) /(2x^2 - x)(3x−2)]. Not by using logarithmic differentiation.

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Q: Use logarithmic differentiation to find y = x³ (5x + 3)¹ (2x - 1)5 dy dx given

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Q: 5. Use the chain rule to find the derivatives of (a) y = log; V4 + 1 (b) y = (x – e-")²

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Q: Use logarithmic differentiation to find dy/dx. (x+1)(x-8) y = (х - %3D X > 8 1)(x + 8)'

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Q: 1. Find dy/dz by logarithmic differentiation differentiation.

A: Given y = xln(x)   --- (1)

Q: Let y = (x³ – 6x)H). . Find dy/dx using the method of logarithmic differentiation. - Answer:

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Q: In(r) Find dy/dx using the method of logarithmic differentiation when y = (4+ 2x²).

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Q: dy Find dz using logarithmic differentiation if y = (3x)3.

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Q: What is the derivative of (9x² + 14)2 (20x2 +11a- 15)3 123 e y = with respect to x? Hint: Take the…

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Q: Find the derivative of the function. y= log , (3x2 - 2x) 5/2 O A. In 9(3x- 1) (3x2 - 2х) OB. 10(3x –…

A: We need to apply 1.chain rule 2.differentiation of logarithmic   we get option c as correct answer

Q: * (2 + x²)% Use logarithmic differentiation to find if y = y - (1 +3x)

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Q: Use log differentiation to find of: dy dx y = xx²

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Q: Let y = (r-15x)m(). Find dy using the method of logarithmic d.x differentiation. Express your answer…

A: We will solve the problem

Q: Use logarithmic differentiation to find for the function dx (x3 +5) y = e2a /2x – 1 -

A: y=x3+5e2x2x-1taking log on both sidelogy=logx3+5e2x2x-1apply log…

Q: Find the derivatives of the functions y = log2 (x2/2)

A: Given that y=log2(x22)

Q: Find the derivative of the function f (x) = /e* – In(x) 12 – 1/x) O (ex12 – 1) O (e2 – 1/x) e? -x)

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Q: 2. Find the derivative of each function. # 45 : y = In(1+e2") b. # 47: y = a. et +e-a

A: Chain rule: If F(x) is a composite function f(g(x)) and if F(x) is differentiable, then the…

Q: (т3 + 5) e2x /2x – 1

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

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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: h(x) = In (2x-2)+(x² +1)e³x-6 %D Calculate the derivative at x=2, that is h'(2)=

A: calculate the derivative as shown below: h'x=ddxln2x-2+x2+1e3x-6…

Q: i dont understand a) through c)

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Q: dy Find using logarithmic differentiation if dx y = (3x)³¤.

A: Given that y = (3x) 3x . We find dy/dx. We know that d(xn)/dx = nxn-1. Here i attached solution of…

Q: Q3: find the derivative of In(x4+3x-1) a) f(x) = %3D x²+1 b) f(x) = 4x³ . log(x² + 2x) %3D c) f(x) =…

A: Use product rule of differentiation.

Q: y = log4 x %3D .y = In(5x2 -4x + 8) %3D

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Q: Suppose h(x) =log,(3x+1). What is the correct result Зх + %3D of the derivative of h with respect to…

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Q: nd dy/dx using logarithmic differentiation y=4xx^4 y=(x2\sqrt{x4+5})/ex-x^4

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

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Q: Solve for the derivative of the following Exponential Differentiation. 1. y = 92x^2 + 3x +1 2. y =…

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Q: dy Find Y dx (x- 2) - (2x+1)4 if y= | Use logarithmic differentiation. x=0 e2x. Vx+8

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Q: 2. Find the derivatives of the following functions. a) y = (log2 x)3¬*

A: Given information: The function is y=log2x3-x. Calculation: Find the derivative of the function. Use…

Q: dy Find dx by logarithmic differentiation. e2x – 1 y = In e2x + 1

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Q: Find the derivative of the given function. e5x (2x+1)5 f(x) = In Vx2+1

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Q: * (2 + x²)° Use logarithmic differentiation to find if y = y - (1 + 3x)°

A: Given: y=x52+x251+3x5

Q: 1- Find the first derivative of y with respect to x for the following functions: In5 7x y = log5 . a…

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