1. If x y= (x + y), then \(\frac{dy}{dx}\) is equal to

2. If ax² + 2hxy + by² = 1, then \(\frac{dy}{dx}\)equals

3. If sec (\(\frac{x-y}{x+y}\)) = a then \(\frac{dy}{dx}\) is

4. If y = tan(\(\frac{sinx+cosx}{cox-sinx}\)) then \(\frac{dy}{dx}\) is equal to

5. If y = tan(\(\frac{√x-x}{1+x^{3/2}}\)), then y'(1) is equal to

6. The differential coefficient of tan(\(\frac{\sqrt{1+x}-\sqrt{1-x}}{\sqrt{1+x}+\sqrt{1-x}}\)) is

7. \(\frac{d}{dx}\)(x\(\sqrt{a^2-x^2}+a^2 sin^{-1}(\frac{x}{a})\)) is equal to

8. If f(x) = tan(\(\sqrt{\frac{1+sinx}{1-sinx}}\)), 0 ≤ x ≤ \(\frac{π}{2}\), then f'(\(\frac{π}{6}\)) is

9. If y = sin(\(\frac{√x-1}{√x+1}\)) + sec(\(\frac{√x+1}{√x-1}\)), x > 0, then \(\frac{dy}{dx}\) is equal to

10. If x = exp {tan(\(\frac{y-x^2}{x^2}\))}, then \(\frac{dy}{dx}\) equals