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Lecture - 9 Chapter 13 Limits and Derivatives

All rules for direct differentiation Detailed Explanation and Tricks for direct derivative in case of, Addition and Subtraction, Multiplication (Product Rule)

NCERT EXERCISE 13.2

Question 11.  Find the derivative of the following functions:
(i). \sin x \cos x
(ii). \sec x
(iii). 5 \sec x + 4 \cos x
(iv). \cosec x
(v). 3 \cot x + 5 \cosec x
(vi). 5 \sin x – 6 \cos x + 7
(vii). 2 \tan x – 7 \sec x

Question 9. Find the derivative of
(i). 2x – \frac{3}{4}
(ii). (5x^3+3x-1)(x-1)
(iii). x^{-3}(5+3x)
(iv). x^5 (3-6x^{-9})
(v). x^{-4}(3-4x^{-5})
(vi). \frac{2}{x+1}-\frac{x^2}{3x-1}