If `x =sqrt(2+sqrt2)` , then `x^4 +1/x^4` is

If f(x) = sqrt(x + 2sqrt(2x - 4)) + sqrt(x - 2sqrt(2x - 4)) , then f'(3) = f'(6) =

If x= (sqrt2+1)/(sqrt2-1) and x-y= 4sqrt2 then find the value of x^4+y^4 .

If f(x)=(1)/(sqrt(x+2 sqrt(2 x-4)))+(1)/(sqrt(x-2 sqrt(2 x-4))) , for x gt 2 , then f(11)=

If f (x) =(1)/(sqrt(x+2sqrt((2x-4))))+(1)/(sqrt(x-2 sqrt(2x-4))) for x gt2, then the value of f (11) is-

If y = sin^(-1) x^2 sqrt(1 - x^2) + xsqrt(1 - x^4) , show that (dy)/(dx) - (2x)/(sqrt(1 - x^4)) = 1/(sqrt(1 - x^2))

If f(x)=sqrt(x+2sqrt(2x-4))+sqrt(x-2sqrt(2x-4)) then the value of 10 f'(102^(+)) , is

If f(x)=sqrt(x+2sqrt(2x-4))+sqrt(x-2sqrt(2x-4)) then the value of 10 f'(102^(+)) , is