Question

Question 7 For some constants a and b, find the derivative of

(i) (x – a) (x – b)

(ii) (ax^2 + b)^2

(iii) (x-a) / (x-b)

Class XI - Limits and Derivatives Page 313

Answer 1

1) apply the product rule

f'(x) = (x-b)× d/dx(x-a) + (x-a)×d/dx(x-b)
=>( x-b)×1 + (x-a)×1
=> 2x-(a+b)

2) apply the chain rule directly
g'(x) = 2(ax²+b) × 2ax
=> (2ax²+2ax+2b)×2ax
=> (4a²x³ + 4a²x² + 4abx)

3) apply the division rule .
k'(x) = (x-b) d/dx(x-a) - (x-a)d/dx(x-b) / (x-b)²
=> a-b/(x-b)²

hope it will help you.

Answer 2

Step-by-step explanation:

it is answer of your question