Function Expression :
\[f(x)=-9.4x^2+\frac{sin25}{cos25}x+2 \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = -\infty \]\[\lim_{x \rightarrow+\infty}f(x) = -\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=- \frac{94 x}{5} + \frac{\sin{\left(25 \right)}}{\cos{\left(25 \right)}} \]\[f^{\,\prime}(x)=- \frac{94 x}{5} + \tan{\left(25 \right)} \]
\[f^{\,\prime}(x)=\frac{- 94 x + 5 \tan{\left(25 \right)}}{5} \]
Integral
\[F(x) = - \frac{47 x^{3}}{15} + \frac{x^{2} \sin{\left(25 \right)}}{2 \cos{\left(25 \right)}} + 2 x \]Sign Table
Variation Table
Plot
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