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Question Number 178349 by doline last updated on 15/Oct/22

$$etudierlafonctionsuivante4x^3-9x^2+6x+1$$$$calculerleslimitespuisdressersontableaudevariation$$

Answered by Acem last updated on 16/Oct/22

$$$$$$\underset{x\to \mp \mathrm{\infty }}{\lim }f\left(x\right)=\mp \mathrm{\infty }$$$$\underset{x\to \mp \mathrm{\infty }}{\lim }[f\left(x\right)-y_{\mathrm{\Delta }}]=\mp \mathrm{\infty }il{n}^{\prime }yapas{d}^{\prime }asymptoteoblicpour{C}_f$$$$f^{{}^{\prime }}\left(x\right)=12x^2-18x+6,f^{{}^{\prime }}\left(x\right)=0$$$$\Rightarrow p_1(\frac{1}{2},2.75),p_2(1,2)$$$$\underset{―}{}\overline{)\begin{array}{cccccc}x& -\mathrm{\infty }& \frac{1}{2}& & 1& +\mathrm{\infty }\\ f\left(x\right)& +& 0& -& 0& +\\ f\left(x\right)& {}_{-\mathrm{\infty }}\nearrow & & \searrow & & \nearrow {}^{+\mathrm{\infty }}\end{array}}$$$$$$$$Points{d}^{\prime }aide:$$$$p_3(0,1),p_4{(-0.1365,0)}_{delacalculatricegraphique}$$$$$$

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