- #1

DBeckett91

- 6

- 0

## Homework Statement

S = (8x^2 - 7x + 125)/(8x+7)

Where the value of x is unknown

## The Attempt at a Solution

u = 8x^2 - 7x + 125 du/dx = 16x - 7

v = 8x + 7 dv/dx = 8

ds/dx = (v*du/dx - u*dv/dx)/v^2

= (8x+7*16x-7 - 8x^2-7x+125*8)/(8x+7)^2

= (128x^2 - 56x + 112x - 49) - (64x^2 - 56x + 1000)/(8x+7)^2

= (128x^2 + 56x - 49) - (64x^2 - 56x + 1000)/(8x+7)^2

= (64x^2+951)/(8x+7)^2

This rule I'm not very comfortable or confident with so if I have gone wrong anywhere in my equations any help would be much appreciated