CBSE Class 12-science Answered
Plz solve this sum
Asked by | 27 Jan, 2010, 08:34: AM
Expert Answer
Let u = xy and v = yx.
ln u = y lnx
(1/u)du/dx = y/x + lnx dy/dx
du/dx = xy (y/x + lnx dy/dx)
ln v = x ln y
dv/dx = yx (lny + (x/y)dy/dx )
Now du/dx + dv/dx = 0
xy (y/x + lnx dy/dx) = -yx (lny + (x/y)dy/dx )
This gives after simplification,
dy/dx = (-yxlny - xy-1y)/(xylnx + yx-1x)
Regards,
Team,
TopperLearning.
Answered by | 27 Jan, 2010, 09:58: AM
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