(i) Match the following :
A - Function |
B - Derivative w.r.t to x |
log f(x) |
2x |
\(\frac{f(x)}{g(x)}\) |
\(\frac{f'(x)}{g'(x)}\) |
y2 |
\(\frac{g(x).f'(x) - g'(x).f(x)}{[g(x)]^2}\) |
x2 |
\(\frac{f'(x)}{f(x)}\) |
|
\(2y \frac{dy}{dx}\) |
(ii) If log (x2 + y2) = 2 tan-1 \(\frac{y}{x}\), then show that \(\frac{dy}{dx}\) = \(\frac{x+y}{x-y}\)