3. Use Log Rule to integrate. J6x-5 dx a. 6х-5 b. S- 1 dx x Inx

Q: Another equation that has been used to model population growth is the Gompertz15 equation dydt=ry…

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Q: X* Q: Prove that the function y- 2 2 x+1+/log Vx+Jx +1 + log satisfies the relationship 2y=x dx

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Q: dy 23: Find for the following functions: - dx a- y = (cosx)V* (use logarithm differential) csc-2/351…

A: These are composition of functions

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

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Q: Q1- Find dy / dx for the following functions : e0 -2 2.8ln2 Y= 4 * sinh 9x * Inxy sino 3 log2 2

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Q: differentiation b. y=(x2Squareroot(x4+5))/(

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Q: 5 dy (x*+3)* Use logarithmic differentiation to find- given that y dx /2x+1•ecscx*

A: The given function is: y=x4+352x+13·ecsc x Find dydx using logarithmic differentiation. Logarithmic…

Q: 1 dx = +C (x+1)² X+1

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Q: Find dy/dx using the method of logarithmic differentiation when y 8 cos(z) dy/dx %3D

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Q: In the given question/s, find dy /dx by implicit differentiation :-   x4 y - 8xy+3xy2= 9

A: Given: x4y-8xy+3xy2= 9.

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

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Q: dy (x– 2)³ · (2x + 1)ª Find if y = dx|, e2x . Vx+8 Use logarithmic differentiation.

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Q: Find the logistic equation that passes through the given point.

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Q: dy log x If xY = ex-Y, prove that %3D dx (1+ logx)?

A: Introduction :

Q: f(x, y) = 1/(xy), then the marginal pdf of X is (log x)/y. Is this statement True/False?

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Q: dy 1. Use logarithmic differentiation to solve dx x'V7x-14 (1+x)* x +1 2. Evaluate the integral | dx…

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Q: Find dx y = 4 In x+9 log 4x dy (Type an exact answer.) dx

A: See the details solution in below

Q: dy (a2 – 8) V7³ +1 Using logarithmic differentiation, find if y d.a xô – 4x + 1 NOTE: Express your…

A: →logmn =logm - logn→log(mn) = log(m) + log(n)→log(mn) = n log(m)→dlog(f(x)dx = 1f(x)×f'(x)

Q: Differentiate sinx (i) y = log((1 + vx)x²) (ii) y = Vcosx

A: Differentiation of a function at a point is equal to the rate of the change of the value of the…

Q: 23: Find The Domain of the Function. y = sin (log, x²]

A: Given: y=sin-1[log4x2]

Q: Differentiate the following using chain rule Y = In (cot 3x – 2) Y = log cos? 3x

A: We need to find the derivative of Y=ln cot 3x-2 and Y=log cos23x. First problem: Now,…

Q: dy Find if y = log5u, where u = cos5x %3D dx dy = - 5tan5x dx dy = 5tan5x dx dy = -tan5x dx None

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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: Q1: Using natural log., the derivative of : z(r) = cosʻ(r)/1+r² ?

A: The objective is to use natural logarithm to find the derivative of  z(r) .

Q: dy Q1) Find dx for : 1) y = log3(3x3 + x2)2 x In(sec- x)

A: I supposed to do only first question as our company guideline. Please repost other question as next…

Q: For function y=xx , finding dy/dx required the use of logarithmic differentiation. Now let…

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Q: If e (3x + 2)e2* dy 3 4 using logarithmic differentiation. (b) show that +2 2.x-1 %3D (2x-1) dx 3x…

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Q: 4. y = log,(x* +3x² +1)

A: y = log(x4 +3x2 +1 ) here we use chain rule for differentiation dy/dx = (4x3 +6x )/(x4 +3x2 +1 )

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: dy for y =loge(l-Sin( 3x) Xア

A: We use chain rule to solve this differentiation

Q: 1 dy of y% = dt Use logarithmic differentiation to find the derivative, (t+5)(t+ 8)(t + 9) dy %3D dt

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Q: Determine dydx of function g 1 g(x, y) = cos (Tx/T) + log3 (x – y) |

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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: dy if y = log(In a). dx Find dy dx

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Q: Let y = (x° – 15a)m(@). Find dy using the method of logarithmic dx differentiation. Express your…

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Q: Q4/ Use Logarithmic Differentiation to find dy/dx for the following functions: 1. y = V(x2 + 1)(x –…

A: Differentiation of ln(ax+b) = a/(ax+b)

Q: Find dy dx 5. = sec ¹(log 7x) y =

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Q: Given that y = (In(x))²In(), find dy using the method of logarithmic d.x differentiation. dy %3D

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Q: t2 sec-(t) y = cosh(sec t)

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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: Compute dy/dx for y = log3 x

A: Our Aim is to calculate dydx for the function given below:-y=log3(x) -(i)

Q: Find dy using logarithnic dufferentiation dx Sinx Cosx tan?x 2-y=

A: Find dy/dx using logarithmic differentiation  Given y = x³√(1+x²)

Q: 3 7 use log differentiation to differentiate to find y prime (dy).   y = sin(x)x

A: Given function y = Sin(x)x , here we need to determine y\'.Let us use logarithmic differentiation.…

Q: Find dy/dx by logarithmic differentiation. Vsin z (z²+4)* y = (1–2z)“5=²

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Q: Use logarithmic differentiation to find dy/dx.

A: Differentiate y=x23x−2(x+1)2

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

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Q: Find dy/dx by implicit differentiation.  square root over xy = x7y + 38

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