Check whether the following function is strictly decreasing on $(0, \frac{π}{2})$ or not.

$t a n x$

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Solution

Let $f (x) = t a n x \Rightarrow f^{'} (x) = s e c^{2} x$ . In interval $x ϵ (0, \frac{π}{2}), f^{'} (x) > 0$
Therefore, f(x) is not strictly decreasing on $(0, \frac{π}{2})$

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