Question

i need help in partial differentiation problems

Answer 1

\[if u =\frac{ \tan^{-1} (xy) }{ \sqrt{1+x ^{2}+ y^{2}} }\]

Answer 2

Show that \[\frac{ \delta u }{ \delta x} =\frac{ y }{ (1+x^{2})\sqrt{1+x ^{2}+y ^{2}} }\]

Answer 3

when partially diff. with respect to x, we treat 'y' as constant

Answer 4

OK...

Answer 5

still need help?

Answer 6

did you try ?

Answer 7

@perl yes...

Answer 8

@hartnn yes..

Answer 9

Whenever there is dy/dx, that shall become 0.

Answer 10

Treat 'y' as a constant. Now apply normal differentiation. d(u/v)/dx= ((v.du/dx)-(u.dv/dx))/v^2
Here, u=arctan(xy), v=(1+x^2+y^2)^0.5

Answer 11

it will b like differentiating
\(\Large u =\frac{ \tan^{-1} (ay) }{ \sqrt{b+x ^{2}} }\)

where a and b are constants

Answer 12

***
\(\Large u =\frac{ \tan^{-1} (ax) }{ \sqrt{b+x ^{2}} }\)