What is (\partial)/(\partial x)(6x^2y+1) ?

The answer to (\partial)/(\partial x)(6x^2y+1) is 12xy

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(\partial)/(\partial x)(6x^2y+1)

\frac{\partial}{\partial x} (6 x^{2} y + 1)

12 x y

Solution steps

\frac{\partial}{\partial x} (6 x^{2} y + 1)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (6 x^{2} y) + \frac{\partial}{\partial x} (1)

\frac{\partial}{\partial x} (6 x^{2} y) = 12 y x

\frac{\partial}{\partial x} (1) = 0

= 12 y x + 0

Simplify

= 12 x y

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What is (\partial)/(\partial x)(6x^2y+1) ?
The answer to (\partial)/(\partial x)(6x^2y+1) is 12xy