Home
Class 12
MATHS
If y=e^(x+e^(x+e^(x+...infty))) , then d...

If `y=e^(x+e^(x+e^(x+...infty)))` , then `dy/dx=`
`(A) y/(1-y)`
`(B) 1/(1-y)`
`(C) y/(1+y)`
`(D) y/(y-1)`

Promotional Banner

Similar Questions

Explore conceptually related problems

If x= e^(y+e^(y+....infty )),xgt 0,then (dy)/(dx)=

If y=e^(x)+e^(x)+e^(((x+rarr oo))), show that (dy)/(dx)=(y)/(1-y)

If y=e^(x+e^(x+e^(x)+cdots*oo)), prove that (dy)/(dx)=(y)/(1-y)

If y=e^x^+e^x^+e^((((( tooo))))),s howt h a t(dy)/(dx)=y/(1-y)

If : y=sqrt((1+e^(x))/(1-e^(x)))," then: "(dy)/(dx)=

If x=e^(y+e^(y+e^y^(------ ∞))) , x>0 , then (dy)/(dx) is equal to (A) (x)/(1+x) (B) (1)/(x) (C) (1-x)/(x) (D) (1+x)/(x)

"If "y=e^(x+y)" ,show that "(dy)/(dx)=(y)/(1-y)

If y=(e^(x)-e^(-x))/(e^(x)+e^(-x)), prove that (dy)/(dx)=1-y^(2)

If e^x+e^y=e^(x+y) , show that (dy/dx)=e^(x-y)((e^y-1)/(1-e^x))

If y.e^x+x.e^y=1 then find dy/dx