What is (\partial)/(\partial x)(2y^3+4x) ?

The answer to (\partial)/(\partial x)(2y^3+4x) is 4

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(\partial)/(\partial x)(2y^3+4x)

\frac{\partial}{\partial x} (2 y^{3} + 4 x)

4

Solution steps

\frac{\partial}{\partial x} (2 y^{3} + 4 x)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (2 y^{3}) + \frac{\partial}{\partial x} (4 x)

\frac{\partial}{\partial x} (2 y^{3}) = 0

\frac{\partial}{\partial x} (4 x) = 4

= 0 + 4

Simplify

= 4

What is (\partial)/(\partial x)(2y^3+4x) ?
The answer to (\partial)/(\partial x)(2y^3+4x) is 4