Differentiation of $\sqrt{1+x^{2}}$ gives
(A) $\frac{1}{\left(1+x^{2}\right)}$
(B) $\frac{1}{\sqrt{1+x^{2}}}$
(C) $\frac{\sqrt{1+x^{2}}}{x}$
(D) $\frac{x}{\sqrt{1+x^{2}}}$
Differentiation of $\sqrt{1+x^{2}}$ gives
(A) $\frac{1}{\left(1+x^{2}\right)}$
(B) $\frac{1}{\sqrt{1+x^{2}}}$
(C) $\frac{\sqrt{1+x^{2}}}{x}$
(D) $\frac{x}{\sqrt{1+x^{2}}}$