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

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

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

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

3

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (3 x) = 3

\frac{\partial}{\partial x} (2 y^{4}) = 0

= 3 - 0

Simplify

= 3

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