# Lecture 11 Application of Derivatives P1

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धूप में तो काँच के टुकड़े भी चमकने लगते हैं||

# Part - 1 Lecture - 11 Chapter 6 Application of Derivatives

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) $$h(x) = x + 1, x \in (-1, 1)$$