du if u = x log xy where x³ + y° +3xy = l find dx %3D

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

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Q: y = log,(|x|) %3D

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Q: dy Solve : x +y=Dy' log x. dx

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Q: 1. Find (2x – e") dx e*) dæ

A: Please specify which part is to be solved. In this question we have to find the integral,  (1)…

Q: ky" + x°y" – xy' +y= log(x)| %3D

A: Given differential equation is: x3y'''+x2y''-xy'+y=logx Since, given differential equation is Cauchy…

Q: +y log z =0 is 1S

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Q: x+y =(x+y-1)+. dx log (x+y)

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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: 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: f(x) = log,/½(Vx – 1 + v3 – x) -

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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 Find dx if y = x(log2(r-3x)) dy dx

A: Given, y=xlog2x3-3x5 To find dydx

Q: X y = (sec x) log2 a

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Q: d (2* log2 x) dy Find dx 2. y = log10 x y = x* 3.

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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 Find dx if y = x (log2(x* – 4x))° dy dx ||

A: Topic = Derivative

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: Q5): Find: dy dx 1- y= log,(x) 2- y = x**

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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: 9. dx x log 10 x e" dr 1 + e" 10. dx 11. 1 + e*

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

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

A: see below the answer

Q: x5 log %3D y® z5

A: On solving this we will get

Q: y=x^logv5(x) dy/dx=?

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Q: dx (x+1) log(x+ ) In[log(x+1)] + og² (x+1) + C

A: We have to choose the correct option from the given options

Q: Q 04: x(1-x*) (a) Using natural logarithm find y' of v=-* ) (b) find y"=" if y = In(x+V1+x² ) and y…

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Q: Find h" (x) if h(x) = log,(cos(x)) – e®z. -

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Q: Evaluate x+1 S ex x² dx O e.e= + C O-e e + C O e e + C e = + C O

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

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Q: dy y(log y – log x+1) dx The solution of x is

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Q: y= logx? + 4 Find dy 3 dx

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Q: d 4) (1+ x)* = (Logarithmic differentiation) %3D

A: Given, d/dx (x+1)x We can find it by substitution method

Q: Differentiate. y= log (x +x) log (x +x) = D dx

A: We can solve the differentiation as below.

Q: Find dy dx 5. = sec ¹(log 7x) y =

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

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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: 4. (x log x)y' +y=3x³; 5. (y – 2xy – x²) dx+x²dy=0.

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Q: dy given y = log 2 (6x + x 3). 7) Find dx

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Q: Find dy dx (ii) f(x) = log,(x' +4)*

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Q: d 4) (1+ x)* = (Logarithmic differentiation) dx

A: We have to find the differentiation.

Q: dy by first using algebraic properties of the natural logarithm dx Find (x + 6)(x + 8)* (x +3)*(x +…

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

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Q: If y = loge(x2+9)1/2 find dy/dx differentiate the exponential functions i) y= 153x         ii)…

A: 1. giveny=log(x2+9)12 by using property of logarithmy=12log(x2+9)differentiatedydx=12(x2+9).2x=xx2+9…

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

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

Q: HW Find dy/dix iy y=log

A: The given function is: y=log2x2-3lnx2+1x+2log x

Q: d'y Solve x dx dy +12y=x log x+x dx

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

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

Q: (m) f(r) = x² log(e2 +1) (n) y = rVE 2r (o) y = 1+e-*

A: Using simple derivative rules

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

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.