What is the derivative derivative of xy ?

The derivative derivative of xy is y+x(dy)/(dx)

What is the first derivative derivative of xy ?

The first derivative derivative of xy is y+x(dy)/(dx)

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derivative

y + x \frac{d y}{d x}

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = y

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

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

= 1 \cdot y + \frac{d y}{d x} x

Simplify

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

What is the derivative derivative of xy ?
The derivative derivative of xy is y+x(dy)/(dx)
What is the first derivative derivative of xy ?
The first derivative derivative of xy is y+x(dy)/(dx)