Exercise 13.2 class 11 maths
1. Find the derivative of x2– 2 at x = 10
2. Find the derivative of x at x = 1
3. Find the derivative of 99x at x = l00.
4. Find the derivative of the following functions from first principle
(i) x3 – 27
(ii) (x – 1) (x – 2)
(iii) 1 / x2
(iv) x + 1 / x – 1
5. For the function .Prove that f’ (1) =100 f’ (0).
6. Find the derivative of for some fixed real number a.
7. For some constants a and b, find the derivative of
(i) (x − a) (x − b)
(ii) (ax2 + b)2
(iii) x – a / x – b
8. Find the derivative of for some constant a.
9. Find the derivative of
(i) 2x – 3 / 4
(ii) (5x3 + 3x – 1) (x – 1)
(iii) x-3 (5 + 3x)
(iv) x5 (3 – 6x-9)
(v) x-4 (3 – 4x-5)
(vi) (2 / x + 1) – x2 / 3x – 1
10. Find the derivative of cos x from first principle
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
