y=√(x+√(x+√(x+√(x+........................ infinite times...))))
what is dy/dx?
my one friend said it is easy. I dont understand :(
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1 Answers
62actually ur firend is right... absolutely.
This is a very standard question. YOu should just know the trick...
if you can see. the whole thing on the right is a part of itself!!!
because if u leave the first bracket root and x you will still remain with y
thsi si the only trick here...
so if u see carefully,
y=√(x+y)
so this problem is only that much!
now you can get dy/dx isnt it?
dy/dx=1/(2√(x+y)){1+dy/dx}
take dy/dx on one side and you are done!
and yeah you can ask as many problems as you want to.. :)
