dy 3 Find if y = x (log2(2³ – 52)* dx dy dx

Q: 2 dy + (1 + log y) dx d?y (1– log y ) dx2

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

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Q: Find dy/dx of the function. y=log2 x

A: To find derivative of given function.

Q: dy 5. (i). Find the dx for the function y = xsinx using logarithmic differentiation. d?y (ii). Find…

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Q: Find dy/dx for the following       y=ln(x2 +1) 5

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Q: e 1 dx x/In x 1

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Q: Q1) Find for : dx 1) y = log3(3x3 + x²)² × In(sec-1 vVx) 2 – (x² + y)² + (x – y²)² = x³ + y³

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Q: ГЕ 29. /x +4y dx dy

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Q: (b) Solve : d²y - 3.x+5y= sin(log x) dx dy dx हल कीजिए dy 2dy- 3x+ dx Sy sin(log x) dx

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Q: dy 1. Find dx for the following functions: 45) y=x' log,(3– 2x ) 2x' (ans.:3x² log ,( 3…

A: Given function is y = x^3 log_2(3-2x)

Q: (x+2) (2x+1)° * (3x+1) [2] Consider y= where x > 0 dy First take Natural Log of both sides then find…

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Q: dy y sin2x Q: Solve : dx x logx log x

A: Given  yxlog(x)=sin(2x)log(x)

Q: dy for log, 3* dx = esinh x.In siny Q1/ Find

A: The expression of the function is .

Q: 2. J T(x+1)((tan-1x)+9) 4. Zin10 log10 dx

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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: d'y dx dy Solve x x- dx +4y cos(log x) +x sin(log x)

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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: d'y dy +9y = 6e* +7e* – log 2 6- 3x -2x dx? dx

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Q: Find dy/dx if y = e-(1/10)e-x/2.

A: Given: y=e-110e-x2. To find dydx. Solution: Chain rule of differentiation states that:…

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: dy y sin2x Q:Solve: dx x logx log x

A: see 2nd step for the solution.

Q: dy 7) Find by using logarithmic differentiation for dx (Cos x)(e") y

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Q: 10. xy dx - (x + y') dy 0 Ans. 3 p3 +log y = C

A: given D.E isx2ydx-x3+y3dy=0---1is of the form Mdx+Ndy=0where M=x2y;N=-x3+y3∂M∂y=x2  ; ∂N∂x=-3x2

Q: Find dx 1. y = log10 Vx 2. y = x*

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Q: 1/e -1/2 S 10x*-2(1-x²). exact value of dx 1/2

A: Given that

Q: Q1: Find dy/dx of the following functions: 1. x?e? y = log2 2Vx+1,

A: Disclaimer: Since you have posted multiple questions, we will be answering only first question for…

Q: dy 6. Determine for dx In( xy) + x² – xy 2 -1 e +1

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Q: dy using the method of logarithmic dx 4 tan a Find Let y = (In x)“ differentiation. Express your…

A: We can solve the given problem using concept of differentiate above equation with respect to x

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: ery dx dy. 0.

A: ∫01∫01exydxdy Take ∫01exydxSubstitute u=yx=∫0yeuyduTake the constant out:…

Q: 04: Find dy/dx for the following function:: (5) y = x³ log₂ (3 - 2x)

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Q: Find dy dx 5. = sec ¹(log 7x) y =

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Q: Solve Y for csc(3Y) + e2%cot(y²) = log2/xy dx

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Q: - Find dy/dx for y = log2(1 – sin³ (3x²) %3D

A: Use the chain rule to differentiate the given function.

Q: Find dy/dx for following: 1- Y= sec\x 2- Y= 2Vx X 3- Y= log2 8

A: We can make it easier for you.

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: dy Q1) Find for: dx 1) y = log3(3x3 +x?)² x In(sec-1 Vx) 2- (x2 + y)? + (x – y²)² = x³ + y3

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Q: 04: Find dy/dx for the following function:: (Choose only four) (1) y = sinh1(tanx) (2) y = 7esv2x+3…

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Q: dy Find dx 5 if y = x(log2(a - 7x)) dy dx ||

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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: Find dy/dx for y = (ln x) 3

A: We have to find dy/dx of  y = (lnx)3

Q: Find dx/dy. y = log (x sin x)

A: Find dx/dy. y = log (x sin x)

Q: 4. y= log1,(x* +3x² +1) %3|

A: Given: y=log10x4+3x2+1   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x…

Q: Find dy/dx for ln(xy) + e2y - 5x = 30

A: Given: lnxy+e2y-5x=30

Q: dy Find dx if y = « (log2(x* – 4x)) - dy dx

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Q: iv) dy da? + 3 log r- dy dx V5e"y = 6 cosr. + -dy v) 2y = v3x- ´dx ' dy dx dy vi) + yt = 25.

A: 1) d2ydx2+3log x dydx + 5exy = 6cos x Order = 2 Degree = 1 This is linear