Question

How do you differentiate `f(x)= (x+5)/ (2x-7 )` using the quotient rule?

Answer 1

`dy/dx=(-17)/(2x-17)^2`

Explanation:

Given -

`y=(x+5)/(2x-7)`
`dy/dx=([(2x-7)(1)]-[(x+5)(2)])/(2x-7)^2`
`dy/dx=([2x-7]-[2x+10])/(2x-7)^2`
`dy/dx=(2x-7-2x-10)/(2x-7)^2`
`dy/dx=(-17)/(2x-17)^2`