What is the first derivative of 5xy ?

The first derivative of 5xy is 5y

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derivative of 5xy

derivative of

5 x y

5 y

Solution steps

\frac{d}{d x} (5 x y)

Treat

y

as a constant

Take the constant out:

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

= 5 y \frac{d x}{d x}

Apply the common derivative:

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

= 5 y \cdot 1

Simplify

= 5 y