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Application of Derivatives — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsApplication of Derivatives1 Mark
MCQ
The function $f(x)=x^9+3 x^7+64$ is increasing on :
  • ✓
    $\text{R}$
  • B
    $(-\infty,0)$
  • C
    $(0,\infty)$
  • D
    $\text{R}_0$
✓

Answer

Correct option: A.
$\text{R}$
$\text{f}(\text{x})=\text{x}^9+3\text{x}^7+64$
$\text{f}\ '(\text{x})=9\text{x}^8+21\text{x}^6 > 0,\forall\ \text{x}\in\text{R}$
So, $f(x)$ is increasing on $R.$

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