Question

O valor de e y.
4x.8y=1\4

Answer 1

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

Explicação passo-a-passo:

4x.8y=1/4

$\frac{d}{dx} (4x \times 8y) = \frac{d}{ dx } ( \frac{1}{4} )$

$\frac{d}{dx}(32xy) = 0$

$\frac{d}{dx}(32x) \times y + 32x \frac{d}{dx} (y) = 0$

$32y + 32x \times \frac{d}{dy}(y) \times \frac{dy}{dx} = 0$

$32y + 32x \times 1 \times \frac{dy}{dx} = 0$

$32y + 32x \times \frac{dy}{dx} = 0$

$32x \times \frac{dy}{dx} = - 32y$

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