Question

${\red{Hey, how \: are \: you?}}$
${\red{4x \times 16y = 36x}}$
${\red{Help! \: Alguém \: me \: ajudaaa.}}$
$Coloca \: logo, Samuel!$
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Answer 1

꧁Hello, how are you?꧂

• Bom... vamos lá, baby!

$4x \times 16y = 36x \\ \\ \frac{d}{dx} (4x \times 16y) = \frac{d}{dx} (36x) \\ \\ \frac{d}{dx} (64xy) = \frac{d}{dx} (36x) \\ \\ \frac{d}{dx} (64xy) = 36 \\ \\ \frac{d}{dx} (64x) \times y + 64x \times \frac{d}{dx} (y) = 36 \\ \\ 64y + 64x \times \frac{d}{dx} (y) = 36 \\ \\ 64y + 64x \times \frac{d}{dx} (y) \times \frac{dy}{dx} = 36 \\ \\ 64y + 64x \times 1 \times \frac{dy}{dx} = 36 \\ \\ 64y + 64x \times \frac{dy}{dx} = 36 \\ \\ 64x \times \frac{dy}{dx} = 36 - 64y \\ \\ \frac{dy}{d x} = \frac{36 - 64y}{64x} \\ \\ \frac{dy}{dx} = \frac{9 - 16y}{16x}$

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