MCQ
The order of $[x\,y\,z]\,\,\left[ {\begin{array}{*{20}{c}}a&h&g\\h&b&f\\g&f&c\end{array}} \right]\,\left[ \begin{array}{l}x\\y\\z\end{array} \right]$ is
- A$3 \times 1$
- ✓$1 \times 1$
- C$1 \times 3$
- D$3 \times 3$
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$f(\mathrm{x})= -\frac{4}{3} x^{3}+2 x^{2}+3 x ,\quad x>0$
$\quad\quad\quad\quad 3 x e^{x}, \quad\quad\quad\quad\quad\quad\mathrm{x} \leq 0$
Then $\mathrm{f}$ is increasing function in the interval.
$(A)$ $f$ has a local maximum at $x=2$
$(B)$ $f$ is decreasing on $(2,3)$
$(C)$ there exists some $c \in(0, \infty)$ such that $f ^{\prime \prime}( c )=0$
$(D)$ $f$ has a local minimum at $x=3$