What is the derivative of 1/2 xy ?

The derivative of 1/2 xy is y/2

What is the first derivative of 1/2 xy ?

The first derivative of 1/2 xy is y/2

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derivative of

\frac{1}{2} x y

\frac{y}{2}

Solution steps

\frac{d}{d x} (\frac{1}{2} x y)

Treat

y

as a constant

Take the constant out:

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

= \frac{1}{2} y \frac{d x}{d x}

Apply the common derivative:

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

= \frac{1}{2} y \cdot 1

Simplify

\frac{1}{2} y \cdot 1 : \frac{y}{2}

= \frac{y}{2}

6 x + \frac{16}{3}

\frac{\partial}{\partial x} (2 sin (2 x))

5 t

\frac{d}{d x} (\frac{1}{x ^{2} ( 3 x + 1 )})

\frac{\partial}{\partial x} (x y^{2} cos (2 + x^{2} y))