plz solve this ques...
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Reba000:
Which chapter?
differentiation
class 12
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(x-y)e^(x/x-y)=a
taking log both side
ln(x-y)+ln[x/x-y]basee= ln a
ln(x-y)+[x/x-y] = lna
differentiating wrt x
1/x-y (1-dy/dx) +[(x-y)*1-x*(1-[dy/dx)]]/(x-y)^2=0
(x-y)[1-[dy/dx]) +(x-y)*1-x[1-(dy/dx)]=0
x-y-xdy/dx + ydy/dx+x-y-x+xdy/dx=0
x+ydy/dx-2y=0
ydy/dx+x=2y
hence proved hope u got it practice this question 2 times so that u will never forget it good luck buddy for more questions ping mail to my profile i iwll help u though
taking log both side
ln(x-y)+ln[x/x-y]basee= ln a
ln(x-y)+[x/x-y] = lna
differentiating wrt x
1/x-y (1-dy/dx) +[(x-y)*1-x*(1-[dy/dx)]]/(x-y)^2=0
(x-y)[1-[dy/dx]) +(x-y)*1-x[1-(dy/dx)]=0
x-y-xdy/dx + ydy/dx+x-y-x+xdy/dx=0
x+ydy/dx-2y=0
ydy/dx+x=2y
hence proved hope u got it practice this question 2 times so that u will never forget it good luck buddy for more questions ping mail to my profile i iwll help u though
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