Using logarithmic differentiation, find a y' for (x + 2)* sin(x) y = x2(x – 3)2

Q: Let y = 2 ln x - 1/2x then the first derivative is....., the first order condition is..... and the…

A: Given: y=2 ln x-12x To Find:  To determine the first order derivative.To determine the first order…

Q: find the derivative of the log functions: y = ln(x√x2 – 6) f(x) = ln(2x/x+1)

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Q: 1) Using method of logarithmic differentiation, find the derivative of y = (2.x² + 1)(2=-3)

A: Given: Y = (2x2+1)(2x-3)

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 cos(xy^2) = -3y using implicit differentiation

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Q: Suppose we want to use logarithmic differentiation to calculate the derivative of y=x²x . As a first…

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Q: Using logarithmic differentiation, find a y' for (x + 2)* sin(x) x²(x – 3)²

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Q: diy in terms of x and y. dz² ニ 86

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Q: Use the implicit differentiation  x2 − 3 ln y + y2  =  10

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Q: 5y + xy-

A: Differentiation: 5y+xy-4=0 ddx(uv)=udvdx+vdudx ddx(y)=dydx

Q: Using logarithmic differentiation, find the first derivative of q(x)=…

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Q: 4) Use logarithmic differentiation to find the derivative Of the given fünction.Show all steps.…

A: Consider the given function y=xx1+x24

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

A: The given function to be derivated is,

Q: Find the derivative of the function. f(x) = ln   x + 2 x − 2

A: Given,            fx=lnx+2x-2

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: a) Use Logarithmic differentiation to take derivative of y = f(x) = (x)ª cos² x (x3+1)3

A: We use Logarithmic properties

Q: 1. Using Logarithmic Differentiation, find dy given that dx -3 sec-(VT) y = 4*(log2 r)sech z"

A: This is a problem related to differentiation of the function. Based on the logarithm property we…

Q: Find the derivative: y = x [ln(x) - 1] O ln(x) - 1 о O x ln(x) O In(x) O 1 + In(x)

A: Given y=x[lnx-1]To find dydx:

Q: Vsec- (z) In(z) Find using logarithmic differentiation for y

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Q: 4. Using logarithmic differentiation, or otherwise, find the derivative of y = (sin r)".

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Q: (cos² z) /3x²+7 3. (3x+1)5/2x+5 3x2+7 roblem 2. Use logarithmic differentiation to find the…

A: Given:

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: 5. (i). Find the dx for the function y = (tanx)secx* using logarithmic differentiation.

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Q: Use the sign of the derivative to establish the inequaltiy ln(1 + x) > x − x2 2 , ∀x >0

A: SOLUTION-

Q: 5. Use logarithmic differentiation to find the derivative of the function. (x²+1)6 tan² x y = X3

A: Explanation of the answer is as follows

Q: • Use logarithmic differentiation to find the derivative of y = f(x) = 1-x)²V4+x² (3x-5)* • Find the…

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Q: ■ Find y 2    implicit differentiation.   x3 + y3 = 1

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Q: y? Arc sec Vy g(y) In(cos y)

A: Given function is gy=y2sec-1ylncosy. To find the derivative of the given function. Solution: Taking…

Q: Using logarithmic differentiation, Show that y(x)=xa2xex2 has no stationary points other than x=0,…

A: Given function is yx=xa2xex2. We have to show that the given function yx has no stationary points…

Q: 5. Use logarithmic differentiation to find the derivative of the function. (x2+1) tan2 x ソ= x3

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Q: Ise logarithmic differentiation to find the derivative of the function. y = x4 cos(x)

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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: Find y" by implicit differentiation.   x3 + y3 =1

A: We find y' first

Q: Using method of logarithmic differentiation, find the derivative of y = (x³ – 2x)(3r+5) -

A: We need to find the derivative of x3-2x3x+5. So,             x3-2x3x+5' Apply exponent rule:…

Q: 1. Use logarithmic differentiation to find the derivative of the function. y = x4 cos(x) 2. Use…

A: Here we have to find the derivative of the given functions using logarithmic differenciation.

Q: Find the derivative of x^2-xy^2=e^y using the implicit differentiation.

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Q: Use logarithmic differentiation to find the derivative of y. y= cos X-3x + %3D

A: We can find the derivative using logarithmic differentiation as below.

Q: 6. Find y"by implicit differentiation of x³ + y3 = 1.

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

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Q: sin x y = x 2. Use "logarithmic differentiation" to find the derivative of the following function:

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

Q: Use logarithmic differentiation to find the (3x + 1)* (x – 4) - derivative of f(x) (x2 + 1)° ·…

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Q: Using logarithmic differentiation, Show that y (x)= xa2" e®has no stationary points other than x =…

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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: Use logarithmic differentiation to find the derivative of y.. 14) y =1 X - 3 1 A) B) (Inx In(x- 3))…

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

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Q: 2. Use logarithmic differentiation to find y', given y = e2". x* Vx3 + sinh 3x.

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Q: Use logarithmic differentiation to find the derivative of the function. e y = cos?(x) 2 3x2 + 8x + 9…

A: Here , We will find the derivative of the given function using logarithmic differentiation.    We…

Q: Use logarithmic differentiation to find the derivative of y with respect to x. y = ( In (3x))n (9×)…

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