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Gennadij [26K]
3 years ago
12

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

Mathematics
1 answer:
Mazyrski [523]3 years ago
3 0

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}

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