What is the derivative of 2xy^2 ?

The derivative of 2xy^2 is 2y^2

What is the first derivative of 2xy^2 ?

The first derivative of 2xy^2 is 2y^2

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derivative of

2 x y^{2}

2 y^{2}

Solution steps

\frac{d}{d x} (2 x y^{2})

Treat

y

as a constant

Take the constant out:

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

= 2 y^{2} \frac{d x}{d x}

Apply the common derivative:

\frac{d x}{d x} = 1

= 2 y^{2} \cdot 1

Simplify

= 2 y^{2}