What is (\partial)/(\partial x)(x^2-6xy) ?

The answer to (\partial)/(\partial x)(x^2-6xy) is 2x-6y

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(\partial)/(\partial x)(x^2-6xy)

\frac{\partial}{\partial x} (x^{2} - 6 x y)

2 x - 6 y

Solution steps

\frac{\partial}{\partial x} (x^{2} - 6 x y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (x^{2}) - \frac{\partial}{\partial x} (6 x y)

\frac{\partial}{\partial x} (x^{2}) = 2 x

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

= 2 x - 6 y

What is (\partial)/(\partial x)(x^2-6xy) ?
The answer to (\partial)/(\partial x)(x^2-6xy) is 2x-6y