MCQ
Evaluate $\begin{bmatrix}5&-4\\1&\sqrt{3}\end{bmatrix}$
- A$4\sqrt{3}+4$
- B$4\sqrt{3}+5$
- ✓$5\sqrt{3}+4$
- D$4\sqrt{3}-4$
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$[A]$ $f(x)$ is increasing in $(0, \infty)$
$[B]$ $f(x)$ is decreasing in $(0, \infty)$
$[C]$ $f(x)>e^{2 x}$ in $(0, \infty)$
$[D]$ $f^{\prime}(x) < e^{2 x}$ in $(0, \infty)$
$(ii)$ $f '(-5) = 0 \,; \,f '(2)$ is not defined and $f '(4) = 0$
$(iii)$ $(-5, 12)$ is a point which lies on the graph of $f (x)$
$(iv)$ $f ''(2)$ is undefined, but $f ''(x)$ is negative everywhere else.
$(v)$ the signs of $f '(x)$ is given below
Possible graph of $y = f (x)$ is