Exercise 6.2 Application of Derivatives Class 12 Maths Chapter 6

Sunday, May 02, 2021

Agam Sir

Video Format

Topics/Questions discussed in this video:

In this lecture, I am discussing how to find intervals in which the given function is increasing and decreasing. Also, questions based on this topic from NCERT Exercise 6.2

Questions discussed in this lecture:

NCERT EXERCISE 6.2 (Increasing and Decreasing Functions)

Question 1. Show that the function given by f (x) = 3x + 17 is increasing on R.

Question 2. Show that the function given by f (x) = e2x is increasing on R.

Question 3. Show that the function given by f (x) = sin x is
(a) increasing in \left( 0, \frac{\pi}{2} \right)
(b) decreasing in \left( \frac{\pi}{2}, \pi \right)
(a) neither increasing nor decreasing in (0, pi)

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

Question 5. Find the intervals in which the function f given by f(x) = 2x^3 - 3x^2 - 36x + 7 is
(a) increasing
(b) decreasing

Question 6. Find the intervals in which the following functions are strictly increasing or decreasing:
(a) x^2 + 2x -5
(b) 10 - 6x - 2x^2
(c) -2x^3 - 9x^2 - 12x + 1
(d) 6 - 9x - x^2

Agam Sir

Agam Sir

Teacher

Ashish Kumar a.k.a Agam Sir has vast experience of 12+ years of teaching Mathematics and Physics. He has skills (academic and vocational) that go with working alongside people, especially young people, their parent(s) and the institutes that works with him. He always seek to be an agent of positive change and progression, a mentor/ trainer/ educator for learners/students, seeing that their needs are ideally met.