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 minus 3 x is decreasing

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

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 ( x) = 2x ^2 - 3 x   is strictly decreasing  in   x \epsilon \left ( -\infty ,\frac{3}{4}\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

CBSE Class 12 board exams 2025 to have 50% competency-based questions; no change in 10th
anam-khan

CBSE Class 12 board exams 2024 over; expected result date, trends of last 10 years
anam-khan

CBSE Class 12 accountancy board exam analysis 2024 out; paper rated easy, balanced

Latest Question