Request a call back

Find the intervals in which the function f (x) is increasing, f (x) = 2x3 - 9x2 + 12x + 15
Asked by Topperlearning User | 06 Aug, 2014, 09:22: AM

We have,

f (x) = 2x3 - 9x2 + 12x + 15

& f (x) = 6x2 - 18x + 12 = 6(x2 - 3x + 2)

(i)   For f (x) to be increasing, we must have

f'(x) > 0

=> 6 (x2 - 3x + 2) > 0

=> x2 - 3x + 2 > 0     [ 6 > 0 \ 6(x2 - 3x + 2) > 0 & x2 - 3x + 2 > 0)

=> (x - 1) (x - 2) > 0

=>  x < 1 or x > 2

(¥, 1)υ(2, ¥)

So, f(x) is increasing on (¥, 1)υ(2, ¥)

Answered by | 06 Aug, 2014, 11:22: AM

## Concept Videos

CBSE 12-science - Maths
Asked by haroonrashidgkp | 08 Sep, 2018, 04:16: PM
CBSE 12-science - Maths
Asked by Topperlearning User | 06 Aug, 2014, 08:00: AM
CBSE 12-science - Maths
Asked by Topperlearning User | 06 Aug, 2014, 08:12: AM
CBSE 12-science - Maths
Asked by Topperlearning User | 06 Aug, 2014, 09:18: AM
CBSE 12-science - Maths
Asked by Topperlearning User | 06 Aug, 2014, 09:20: AM
CBSE 12-science - Maths
Asked by Topperlearning User | 06 Aug, 2014, 09:22: AM
CBSE 12-science - Maths
Asked by Topperlearning User | 06 Aug, 2014, 09:29: AM
CBSE 12-science - Maths
Asked by Topperlearning User | 06 Aug, 2014, 09:54: AM
CBSE 12-science - Maths
Asked by Topperlearning User | 06 Aug, 2014, 10:12: AM