हीरे को परखना है तो अँधेरे का इंतजार करो
धूप में तो काँच के टुकड़े भी चमकने लगते हैं||
Topics discussed in this lecture:
Uses and difference between a function and an equation
Difference between maxima / minima and maximum / minimum.
How to study NCERT exercise 6.5 maxima and minima
Different types of maxima / minima or maximum / minimum (Global maximum, global minimum, absolute maximum, absolute minimum, local maximum, local minimum)
| NCERT EXERCISE 6.5 |
Questions discussed in this lecture
Question 1. Find the maximum and minimum values, if any, of the following functions given by
(i) \( f(x) = (2x – 1)^2 + 3 \)
(ii) \( f(x) = 9x^2 + 12x + 2 \)
(iii) \( f(x) = -(x – 1)^2 + 10 \)
(iv) \( g(x) = x^3 + 1 \)
Question 2. Find the maximum and minimum values, if any, of the following functions given by
(i) \( f(x) = |x + 2| – 1 \)
(ii) \( g(x) = – |x + 1| + 3 \)
(iii) \( h(x) = \sin (2x) + 5 \)
(iv) \( f(x) = |\sin 4x + 3| \)
(v) \( h(x) = x + 1, x \in (-1, 1) \)