Lecture 7 Limits and Derivatives Class 11

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Lecture - 7 Chapter 13 Limits and Derivatives

Questions form NCERT based on First Principle

NCERT EXERCISE 13.2

Question 4.  Find the derivative of the following functions from first principle:
(i). x^3-27
(ii). (x-1)(x-3)
(iii). \frac{1}{x^2}
(iv). \frac{x+1}{x-1}

MISCELLANEOUS EXERCISE

Question 1.  Find the derivative of the following functions from first principle:
(i). -x
(ii). (-x)^{-1}

(iii). \sin(x+1)

(iv). \cos (x – \frac{\pi}{8})

Example 19. Find the derivative of f from the first principle, where f is given by
(i). f(x) = \frac{2x+3}{x-2}
(ii). f(x) = x+\frac{1}{x}

Example 20. Find the derivative of f(x) from the first principle, where f(x) is
(i). \sin x + \cos x
(ii). x \sin x

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