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

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

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

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

3 y^{2}

Solution steps

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

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the common derivative:

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

= 3 y^{2} \cdot 1

Simplify

= 3 y^{2}

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