NEW FUNCTION
Function Expression :
\[f(x)=2sin(x+45
) \]
Domain
\[]-\infty ;+\infty [ \]
Limits
\[\lim_{x \rightarrow-\infty}f(x) = \left\langle -2, 2\right\rangle \]
\[\lim_{x \rightarrow+\infty}f(x) = \left\langle -2, 2\right\rangle \]
\[ \]
Derivate
\[f^{\,\prime}(x)=2 \cos{\left(x + 45 \right)} \]
\[f^{\,\prime}(x)=2 \cos{\left(x + 45 \right)} \]
\[ \]
Integral
\[F(x) = - \frac{4}{\tan^{2}{\left(\frac{x}{2} + \frac{45}{2} \right)} + 1} \]
Sign Table
Variation Table
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