RS Aggarwal Solution Class 11 Maths Chapter 28 - Differentiation

Differentiate the following functions:

(i) x^-3

(ii) 

Differentiate the following functions:

(i)

(ii)

(iii)

Differentiate the following functions:

(i) 3x^-5

(ii)

(iii)

Differentiate the following functions:

(i) 6x⁵ + 4x³ – 3x² + 2x – 7

(ii)

(iii) ax³ + bx² + cx + d, where a, b, c, d are constants

Differentiate the following functions:

(i)

(ii)

Differentiate the following functions:

(i)

(ii) -5 tan x + 4 tan x cos x – 3 cot x sec x + 2sec x – 13

Differentiate the following functions:

(i) (2x + 3) (3x – 5)

(ii) x(1 + x)³

(iii)

(iv)

(v)

(vi) (2x² + 5x – 1) (x – 3)

Differentiate the following functions:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

Differentiate the following functions:

(i) If y = 6x⁵ – 4x⁴ – 2x² + 5x – 9, find at x = -1.

(ii) If y = (sin x + tan x), find at .

(iii) If , find at .

If , show that .