What is (\partial)/(\partial y)(6xy-12) ?

The answer to (\partial)/(\partial y)(6xy-12) is 6x

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(\partial)/(\partial y)(6xy-12)

\frac{\partial}{\partial y} (6 x y - 12)

6 x

Solution steps

\frac{\partial}{\partial y} (6 x y - 12)

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial y} (6 x y) - \frac{\partial}{\partial y} (12)

\frac{\partial}{\partial y} (6 x y) = 6 x

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

= 6 x - 0

Simplify

= 6 x

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

\int \frac{1}{100} d x

\frac{1}{( s + 1 ) ^{2} + 5}

\frac{h ^{2} - 2 h + 5}{8}

What is (\partial)/(\partial y)(6xy-12) ?
The answer to (\partial)/(\partial y)(6xy-12) is 6x