Question

Hi. I need help with this question (see image). Please show workings.​

Answer 1

`(dy)/(dx)` = 2x - 3 -
`(10)/(x^3)`

Explanation:

Given

y =
`(x^4-3x^3-4x^2+5)/(x^2)`

Divide each term on the numerator by x²

y = x² - 3x - 4 + 5
`x^(-2)`

Differentiate each term using the power rule

`(d)/(dx)` (a
`x^(n)` ) = na
`x^(n-1)`

`(dy)/(dx)` = 2x - 3 - 0 - 10
`x^(-3)`

= 2x - 3 -
`(10)/(x^3)`