Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Find the intervals in which the function f given by f (x) = 2 x^2 - 3 x is increasing

4. Find the intervals in which the function f given by f ( x) = 2x ^2 - 3 x is  increasing.

Answers (1)

best_answer

f ( x) = 2x ^2 - 3 x
f^{'}(x) = 4x - 3
Now,
 f^{'}(x) = 0
 4x - 3 = 0
  x = \frac{3}{4}

So, the range is  \left ( -\infty, \frac{3}{4} \right ) \ and \ \left ( \frac{3}{4}, \infty \right )
So,  f(x)< 0   when  x \ \epsilon \left ( -\infty,\frac{3}{4} \right )  .Hence, f(x) is strictly decreasing in this range and f(x) > 0     when  x \epsilon \left ( \frac{3}{4},\infty \right ) . Hence, f(x) is strictly increasing in this range. Hence, f is strictly increasing in   x \epsilon \left ( \frac{3}{4},\infty \right ).

Posted by

Gautam harsolia

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14
anam-khan

CBSE Board Exams 2025: Online portal for availing exemptions by CWSN students opens
anam-khan

Board Exams: States agree to equivalence; no question paper ‘jumbling’ from next year, says PARAKH CEO

Latest Question