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

y=sqrt(1+x^(2)) and 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))

If cos^(-1)x+2sin^(-1)x+3cot^(-1)y+4tan^(-1)y=4sec^(-1)z+5cos ec^(-1)z, then prove that sqrt(z^(2)-1)=(sqrt(1+x^(2))-xy)/(x+y sqrt(1-x^(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^(1/m)= x + sqrt (1 + x^(2)) "then" (1 + x^(2))y_(2)+ xy _(1) = ?

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

If log (sqrt(1 + x^2) - x) = y sqrt(1 + x^2) , show that (1 - x^2) (dy)/(dx) + xy + 1 = 0