If \[y=\frac{\sqrt{a+x}-\sqrt{a-x}}{\sqrt{a+x}+\sqrt{a-x}}\], then\[\frac{dy}{dx}=\] [AISSE 1986]

\[\frac{ay}{\sqrt{{{a}^{2}}-{{x}^{2}}}}\]

\[\frac{ay}{x\sqrt{{{a}^{2}}-{{x}^{2}}}}\]

\[\frac{ay}{\sqrt{{{a}^{2}}-{{x}^{2}}}}\]

\[\frac{ay}{x\sqrt{{{x}^{2}}-{{a}^{2}}}}\]

If \[y=\frac{\sqrt{a+x}-\sqrt{a-x}}{\sqrt{a+x}+\sqrt{a-x}}\], then\[\f

1.	If \[y=\frac{\sqrt{a+x}-\sqrt{a-x}}{\sqrt{a+x}+\sqrt{a-x}}\], then\[\frac{dy}{dx}=\] [AISSE 1986]
A.	\[\frac{ay}{x\sqrt{{{a}^{2}}-{{x}^{2}}}}\]
B.	\[\frac{ay}{\sqrt{{{a}^{2}}-{{x}^{2}}}}\]
C.	\[\frac{ay}{x\sqrt{{{x}^{2}}-{{a}^{2}}}}\]
D.	None of these
Answer» B. \[\frac{ay}{\sqrt{{{a}^{2}}-{{x}^{2}}}}\]