If `((x)/(y))^(n-1)=((y)/(x))^(n-3)` then the value of `n` is

If y=a^(a^(x)) and (dy)/(dx)=y*a^(x)(log a)^(n) then the value of n is

If the number of terms in the expansion (2x+y)^(n)-(2x-y)^(n) is, 8 then the value of n is __________ (where n is odd)

Let A_(n) be the area bounded by the curve y=x^(n)(n>=1) and the line x=0,y=0 and x=(1)/(2). If sum_(n=1)^(n)(2^(n)A_(n))/(n)=(1)/(3) then find the value of n .

Find the value of n in N such that the curve ((x)/(a))^(n)+((y)/(b))^(n)=2 touches the straight line (x)/(a)+(y)/(b)=2 at the point (a,b)

If y=1+(x)/(|_(1))+(x^(2))/(|_(2))+......+(x^(n))/(|_(n))+ then the value of (dy)/(dx)-y=

Let f:R rarr R be a function which satisfies f(x+y)=f(x)+f(y) AA x, y in R . If f(1)=2 and g(n)=sum_(k-1)^((n-1))f(k),n in N then the value of n , for which g(n)=20 , is :

if y=x^(n) then find the value of (d^(y))/(dx^(n))

For each positive integer n, let y_(n)=(1)/(n)((n+1)(n+2)n+n)^((1)/(n)) For x in R let [x] be the greatest integer less than or equal to x. If (lim)_(n rarr oo)y_(n)=L, then the value of [L] is

If x^(n) y^(n) =(x+y) ^(n),then (dy)/(dx)=