" 4."y=sqrt(1+x^(2))quad :quad y'=(xy)/(1+x^(2))

y = sqrt(1 + x^(2)) : y' = (xy)/(1 + x^(2))

y = sqrt(1 + x^(2)) : y' = (xy)/(1 + x^(2))

y = sqrt(1 + x^(2)) : y' = (xy)/(1 + x^(2))

y=sqrt(1+x^(2)) and y'=(xy)/(1+x^(2))

If y sqrt(1+ x ^(2)) = log ( x + sqrt( 1 + x ^(2))) then (1 + x ^(2)) y_(1) + xy=

If y=sin^(-1)x/sqrt(1-x^(2)) show that (1-x^(2))y_(2)-3xy_(1)-y=0 .

If y=(sin^(-1)x)/(sqrt(1-x^(2))), then ((1-x^(2))dy)/(dx) is equal to x+y (b) 1+xy1-xy(d)xy-2

Prove that sin ^ (- 1) x + cos ^ (- 1) y = (tan ^ (- 1) (xy + sqrt ((1-x ^ (2)) (1-y ^ (2)))) ) / (y sqrt (1-x ^ (2)) - x sqrt (1-y ^ (2)))

If y=(sinh^(-1)x)/(sqrt(1+x^(2))) then (1+x^(2))y_(2)+3xy_(1)=