Question

Using quotient rule, differentiable with respect to x

(i) y = (7x + 4)/(4x - 7)

(ii) y = x/(x + 5)

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

Answer 1

(ii) dy/dx = ((x + 5).1 - x.1)/(x + 5)² = 5/(x + 5)²

(iii) dy/dx = ((x - b).1 - (x - a).1)/(x - b)²

= (a - b)/(x - b)²