3. xlny + ylnx = 1 a. y = y = x Y + x x² In x-y y² ln y - x y' = O b. xlny + y yylnx+x ( 21 x y = y ln x - x ln y

Q: Differentiate. y = In [(x + 6)* (x + 7)® (x + 3)5] d [In [(x +6)*(x +7)® (x + 3)°]] = ] dx

A:

Q: y aln(a) – y = 0; y(2) = In(4)

A:

Q: If y = (4x + 7), find y' (1). O 11 ln(11) + 4 O 11 ln(11) O - O 11 ln(11) - 4 In(11) – - In(11) + 4…

A:

Q: 9/ Verify that Way Wxy = Wyx %3D W = e +X Ln y +g Ln X

A: Given that : W=ex+x.lny+y.lnx Do derivative w.r.t 'x' , we get : Wx=ex+lny+yx Now, do the derivative…

Q: The amplitude of the graph is The period of the graph is

A: 1.  Amplitude of the  sine wave will be the graphical distance bw centre of the graph and top or…

Q: In(t) Let y = %3D (a) ( Find y' using the quotient rule. (b) Rewrite y as a product, then find y'…

A: Given that y=lntt3. (a) Compute the derivative using quotient rule.…

Q: if y= (1+e^x)X^3 then find y`

A:

Q: Calculate y" and y"". y(x)= y" (x) = y"" (x) = 10e*

A: The given function is

Q: If I = , 2x e*dx dy = then 1=

A: Given:     ∫11∫012xex2dxdy

Q: sec?xsec'y dx dy .2

A:

Q: (in) S 15:22 15-z dx. u = (M S 15 - TV9 – a² dx. u= (vi) S dr. u = 22+15

A:

Q: (x"^y2/5)20 1/4 2/5 (x' (2) 2

A: since you have asked multiple questions in single request so we will be answering only first…

Q: y" + y' = xe" denkleminin ÖZEL ÇÖZÜMÜ hangisidir? O a. yp=(1/2)e^ (3x).[x-(3/2)] O b. yp=…

A: The given differential equation is  y" + y' = xex

Q: (5)Find x if. i. e* = 3, ii. Inx = 2 iv. 32-x = 27, v. 8x+1 32. %3D

A:

Q: e*(y' – y) = 2xy?

A: Given

Q: r(x) = 3x/4- x0.1/3 + 5/4x1.1 - 3 r'(x) =

A:

Q: y' = x^3 - 2xy when x=1, y=1

A: Given differential equation:   y'=x3-2xy   when x=1; y=1   y'+2xy=x3:  is a linear differential…

Q: Find y'. y = x − ln(3x) y' =

A:

Q: Find y' and y". y = x² In(9x) y' = x + 2x ln (9x) y" = 3+2 ln( 9x)

A: Given function is Differentiating with respect to x by using product rule of differentiation, we…

Q: What is r′(x) if r(x)=70x^5/2^x?

A: rx=70x52xTo find r′(x)

Q: y' = = x/n(x)

A: We can find the derivative of the given function by using logarithmic differentiation.

Q: 3. S x² ln xdx

A:

Q: If xy? – y3 = 5, find y'. %3D y' = %3D

A: Concepts you should be fimiliar with:1. Implicit differentiationIn implicit differentiation, we…

Q: dy y'= 3r?y = dx Up to y''only. For 0sxs2; y(0) = -1;h=0.1

A: Given y'=3x2y2     (1) Differentiating with respect to x, we get y''=6xy2+6x2yy' from (1)…

Q: Solve ry + (2r* – 1)y = 4x*e %3D

A: Solving the first order differential equation

Q: 2. tanh x (12) tanh(2x) = %3D 1+tanh x

A: Answer

Q: - 1 Find y' for y = 7x-4 + 2x-1. y' =

A: We havey=7x−4+2x−1

Q: 2(xy+x)y = y

A: As per our guidelines we are supposed to only one question. So submit the other question later.

Q: d 5. dx 3/2 3 (x + yy'). x² + y²

A:

Q: 35. /2.1 – V2 is larger than /9.1 – ỹ.

A:

Q: x' - 5 dx. (ii) Evaluate x' + 4x

A: