Question

Find dy/dx for xy=4 at (-4,-1)

Answer 1

Answer:

- $\frac{1}{4}$

Step-by-step explanation:

Differentiate implicitly using the product rule

x. $\frac{dy}{dx}$ + y.1 = 0 ( subtract y from both sides )

x .$\frac{dy}{dx}$    = - y ( divide both sides by x )

$\frac{dy}{dx}$ = - $\frac{y}{x}$

At (- 4, - 1), then

$\frac{dy}{dx}$ = - $\frac{-1}{-4}$ = - $\frac{1}{4}$