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

Question

asked Mar 3, 2022 111k views

1 Answer

Slifty · Answer 1 · 2022-03-08T19:34:34+0000

Answer:

(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)