dy xy dx dai = ln x,y (1) = 2,

Q: y = x*lnx %3D %3D

A:

Q: dy Find derivative dx x2 + xy + y? = 1 %3D

A: In implicit differentiation , we differentiate each side of an equation with two variables (usually…

Q: y = ln(7x2 + 5y2) find y'

A: We have to differentiate the given function: y=ln7x2+5y2 We will use following formulae:…

Q: = sin(5x) for y(0) = 2

A: the solution is, y = (11 - cos5x)/5  The detailed solution is as follows below:

Q: Find  dy/dx by implicit differentiation. x2/x+y = y2 + 4

A:

Q: find dy y = ln (1 + x2)

A: The given function is y=ln1+x2. Obtain the differential as follows.

Q: find dy/dx in terms of x and y if x ln y +y^6 =8 ln x.

A: x ln y + y6 =8 ln x