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

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

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

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

2

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial x} (y^{6}) = 0

= 2 + 0

Simplify

= 2

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