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Model Paper 8 — Applied Maths STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceApplied MathsModel Paper 81 Mark
MCQ
The function $f(x)=x^9+3 x^7+64$ is increasing on:
  • ✓
    R
  • B
    $(-\infty, 0)$
  • C
    $(0, \infty)$
  • D
    $R _0$
✓

Answer

Correct option: A.
R
(a) R
Explanation:$f(x)=x^9+3 x^7+64$
$\begin{array}{l}f^{\prime}(x)=9 x^8+21 x^6 \\ =3 x^6\left(3 x^2+7\right)\end{array}$
$\therefore$ function is increasing
$3 x^6\left(3 x^2+7\right)>0$
$\Rightarrow$ function is increasing on $R$.

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