Answer:
[tex]\frac{dy}{dx}[/tex] = 2x - 3 - [tex]\frac{10}{x^3}[/tex]
Step-by-step explanation:
Given
y = [tex]\frac{x^4-3x^3-4x^2+5}{x^2}[/tex]
Divide each term on the numerator by x²
y = x² - 3x - 4 + 5[tex]x^{-2}[/tex]
Differentiate each term using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
[tex]\frac{dy}{dx}[/tex] = 2x - 3 - 0 - 10[tex]x^{-3}[/tex]
= 2x - 3 - [tex]\frac{10}{x^3}[/tex]
