NEW FUNCTION

Function Expression :

\[f(x)=4(x+4 )^2-2 \]

Domain

\[]-\infty ;+\infty [ \]

Limits

\[\lim_{x \rightarrow-\infty}f(x) = +\infty \]
\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]

Derivate

\[f^{\,\prime}(x)=8 x + 32 \]
\[f^{\,\prime}(x)=8 \left(x + 4\right) \]

Integral

\[F(x) = \frac{4 x^{3}}{3} + 16 x^{2} + 62 x \]

Sign Table


Variation Table


Plot


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