Hàm số f(x)=e^cawn bậc hai x^2+1 có đạo hàm là

A. $f^{\text{'}}\left(x\right)=\frac{2x}{\sqrt{x^2+1}}.{\text{e}}^{\sqrt{x^2+1}}$

B. $f^{\text{'}}\left(x\right)=\frac{x}{\sqrt{x^2+1}}.{\text{e}}^{\sqrt{x^2+1}}.\ln 2$

C. $f^{\text{'}}\left(x\right)=\frac{x}{2\sqrt{x^2+1}}.{\text{e}}^{\sqrt{x^2+1}}$

D. $f^{\text{'}}\left(x\right)=\frac{x}{\sqrt{x^2+1}}.{\text{e}}^{\sqrt{x^2+1}}$