What is (\partial)/(\partial y)(24y^2-12x) ?

The answer to (\partial)/(\partial y)(24y^2-12x) is 48y

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(\partial)/(\partial y)(24y^2-12x)

\frac{\partial}{\partial y} (24 y^{2} - 12 x)

48 y

Solution steps

\frac{\partial}{\partial y} (24 y^{2} - 12 x)

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial y} (24 y^{2}) - \frac{\partial}{\partial y} (12 x)

\frac{\partial}{\partial y} (24 y^{2}) = 48 y

\frac{\partial}{\partial y} (12 x) = 0

= 48 y - 0

Simplify

= 48 y

\frac{\partial}{\partial x} (7 Y (x))

\frac{- 5}{s ( 6 ( 5 s + 1 ) )}

f (x) = (7 x^{6} + 4 x^{3})^{4}

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

x \to 1 lim (x^{2} - 6 x + 2)

What is (\partial)/(\partial y)(24y^2-12x) ?
The answer to (\partial)/(\partial y)(24y^2-12x) is 48y