OnlineCBT Logo OnlineCBT

Mathematics · JEE | APPLICATION OF DERIVATIVES

हिन्दी

Find the intervals in which the function \( f(x) = 10 - 6x - 2x^2 \) is strictly increasing.

  1. A
    \( (0, \frac{3}{2}) \) / \( (0, \frac{3}{2}) \)
  2. B
    \( (-\frac{3}{2}, \infty) \) / \( (-\frac{3}{2}, \infty) \)
  3. C
    \( (-\infty, -\frac{3}{2}) \) / \( (-\infty, -\frac{3}{2}) \)
  4. D
    \( (-\frac{3}{2}, 0) \) / \( (-\frac{3}{2}, 0) \)
View Answer & Solution

Correct answer · Option C

\( (-\infty, -\frac{3}{2}) \) / \( (-\infty, -\frac{3}{2}) \)

Explanation

Derivative \( f'(x) = -6 - 4x \). For strictly increasing, \( -6 - 4x > 0 \implies x < -\frac{3}{2} \).
Address Contact

+91 9694780911

E-mail

onlinecbtportal@gmail.com

Helpline Number

+91 9694780911


Click To Download
Get it on Google Play

ऐप डाउनलोड करने
के लिए Google Play पर
उपलब्ध है

WhatsApp Chat