Function Expression :
\[f(x)=\frac{1}{2}cos(90x ) \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = \left\langle - \frac{1}{2}, \frac{1}{2}\right\rangle \]\[\lim_{x \rightarrow+\infty}f(x) = \left\langle - \frac{1}{2}, \frac{1}{2}\right\rangle \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- 45 \sin{\left(90 x \right)} \]\[ \]
Integral
\[F(x) = \frac{\sin{\left(90 x \right)}}{180} \]Sign Table
Variation Table
Plot
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