What is the first derivative of xy ?

The first derivative of xy is y

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derivative of xy

derivative of

x y

y

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= y \cdot 1

Simplify

= y

x e^{- x}

(2, - 2)

r = 2

y = ln (3 x)

x^{2} sin (x)