Function Expression :
\[f(x)=x-6+4\sqrt{-x} \]Domain
\[\left]-\infty, 0\right] \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = -\infty \]\[\lim_{x \overset{<}{\rightarrow0} }f(x) = -6 \]
\[ \]
Derivate
\[f^{\,\prime}(x)=1 + \frac{2 \sqrt{- x}}{x} \]\[f^{\,\prime}(x)=\frac{x + 2 \sqrt{- x}}{x} \]
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Integral
\[F(x) = \frac{x^{2}}{2} - 6 x - \frac{8 \left(- x\right)^{\frac{3}{2}}}{3} \]Sign Table
Variation Table
Plot
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