MCQ
Derivative of $x^n$ is equal to :
- A$x^{n-1}$
- B$(n-1) ~x^{n-2}$
- ✓$n~ x^{n-1}$
- D$\frac{x^{n+1}}{n+1}$
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$f( x )=\frac{ x ^2-3 x -6}{ x ^2+2 x +4} \text {. }$
Then which of the following statements is (are) $TRUE$ ?
$(A)$ $f$ is decreasing in the interval $(-2,-1)$
$(B)$ $f$ is increasing in the interval $(1,2)$
$(C)$ $f$ is onto
$(D)$ Range of $f$ is $\left[-\frac{3}{2}, 2\right]$