What is (\partial)/(\partial y)(3x^2-12y) ?

The answer to (\partial)/(\partial y)(3x^2-12y) is -12

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(\partial)/(\partial y)(3x^2-12y)

\frac{\partial}{\partial y} (3 x^{2} - 12 y)

- 12

Solution steps

\frac{\partial}{\partial y} (3 x^{2} - 12 y)

Treat

x

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial y} (3 x^{2}) - \frac{\partial}{\partial y} (12 y)

\frac{\partial}{\partial y} (3 x^{2}) = 0

\frac{\partial}{\partial y} (12 y) = 12

= 0 - 12

Simplify

= - 12

y = (\frac{x + 1}{x - 1})^{2}, (3, 4)

f (x) = x^{9}, at x = - 1

\frac{d}{d x} (e^{2 x} n (3 x))

\frac{3}{8} π r^{3}

x \to 0 lim (8 csc (x) - \frac{8}{x})

What is (\partial)/(\partial y)(3x^2-12y) ?
The answer to (\partial)/(\partial y)(3x^2-12y) is -12