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

If x^(y)+y^(x)+x^(x)=m^(n)." then find the value of "(dy)/(dx) .

If y=x^n . find dy/dx

If (x+y)^(m+n)=x^(m)y^(n) , then the value of (dy)/(dx) is -

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

If cos^(-1)((y)/(b))=log((x)/(n))^(n) Find the value of x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)+n^(2)y

If x, y, k, m, n are positive and x + y = k, then find the maximum value of x^(m)y^(n) .

If x^(m) y^(n) =2(x+y)^(m+n) , the value of (dy)/(dx) is

If x^(m) y^(n) =2(x+y)^(m+n) , the value of (dy)/(dx) is

if x=2+t^(3),y=3t^(2)" ,then the value of n for which "(((d^(2)y)/(dx^(2))))/((dy)/(dx))^(n) is constant is