Find The Interval In Which f (x) = 2x3 + 3x2 – 12x + 1 Is Increasing.

Why Kaysons ?

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

SPEAK TO COUNSELLOR ? CLICK HERE

Download JEE Question paper & Solution Download JEE Important questions Download Complete syllabus of Maths, Physics, Chemistry

Question

Find the interval in which f (x) = 2x³ + 3x² – 12x + 1 is increasing.

None of these

easy

Solution

Correct option is

Given f (x) =2x³ + 3x² – 12x + 1

Differentiating both sides, we have

Using number line rule:

Hence f’(x) ≥ 0

When

.

Download JEE Question paper & Solution Download JEE Important questions Download Complete syllabus of Maths, Physics, Chemistry

SIMILAR QUESTIONS

Q1

then f’(0) is equal to

easy View solution

Q2

Local minimum at x = 2, then

easy View solution

Q3

easy View solution

Q4

easy View solution

Q5

a minimum at x= 1 is the value of a is

easy View solution

Q6

Assuming that be petrol burnt in a motor boat varies as the cube of its velocity, the most economical speed when going against a current of ckm/hr is

easy View solution

Q7

easy View solution

Q8

Let f (x) be a function such that f’(a) ≠ 0. Then at x = α ; f (x)

easy View solution

Q9

The minimum value of

easy View solution

Q10

Find the interval in which f (x) = x³ – 3x² – 9x + 20 is strictly increasing or strictly decreasing.

easy View solution