differentiation

Question: $\frac{d}{{dx}}\left[ {{{\tan }^{ - 1}}\left( {\frac{{a - x}}{{1 + ax}}} \right)} \right] = $

1) $ - \frac{1}{{1 + {x^2}}}$

2) $\frac{1}{{1 + {a^2}}} - \frac{1}{{1 + {x^2}}}$

3) $\frac{1}{{1 + {{\left( {\frac{{a - x}}{{1 + ax}}} \right)}^2}}}$

4) $\frac{{ - 1}}{{\sqrt {1 - {{\left( {\frac{{a - x}}{{1 + ax}}} \right)}^2}} }}$

Solution:

Explanation: Explanation

standard-differentiation

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