Corrigé du 80 P. 302

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1. Réponse b. $$\begin{array}{c}{f}^{\prime }(x)=3\times 1-(1\times \ln (x)+x\times \frac{1}{x})=3-\ln (x)-1\hfill \\ \hfill =\boxed{{\displaystyle 2-\ln (x).}}\end{array}$$

2. Réponse b. $$\begin{array}{c}{g}^{\prime }(x)=-1,5\times 2x+2x\times \ln (x)+x^2\times \frac{1}{x}\hfill \\ \hfill =-3x+2x\ln (x)+x=\boxed{{\displaystyle -2x+2x\ln (x).}}\end{array}$$

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