Function Expression :
\[f(x)=6x-3ln(cos x ) \]Domain
\[\left]\left[0, \frac{\pi}{2}\right[ \setminus \left]\left\{2 n \pi + \frac{\pi}{2}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{2 n \pi + \frac{3 \pi}{2}\; \middle|\; n \in \mathbb{Z}\right\}\right[\right[ \cup \left]\left]\frac{3 \pi}{2}, 2 \pi\right[ \setminus \left]\left\{2 n \pi + \frac{\pi}{2}\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{2 n \pi + \frac{3 \pi}{2}\; \middle|\; n \in \mathbb{Z}\right\}\right[\right[ \]Limits
\[ \]Derivate
\[ \]Integral
\[F(x) = 3 \left(\int 2 x\, dx + \int \left(- \log{\left(\cos{\left(x \right)} \right)}\right)\, dx\right) \]Sign Table
Variation Table
Plot
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