MCQ
Which of the following is correct
- A$\sqrt {{x^2}} = \,\left| x \right|$
- B${x^{x + 1}}\, = \,x.{x^x}$
- C$\frac{{\left| x \right|}}{x} = \left\{ \begin{array}{l}
1:x > 0\\
- 1:x < 0
\end{array} \right.$ - ✓All
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$(ii)$ $f '(-5) = 0 \,; \,f '(2)$ 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