Exercise 13.2 class 11 maths

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