Answer:
- [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Differentiate implicitly using the product rule
x. [tex]\frac{dy}{dx}[/tex] + y.1 = 0 ( subtract y from both sides )
x .[tex]\frac{dy}{dx}[/tex] = - y ( divide both sides by x )
[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{y}{x}[/tex]
At (- 4, - 1), then
[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{-1}{-4}[/tex] = - [tex]\frac{1}{4}[/tex]
