What is the derivative of x*y ?

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

What is the first derivative of x*y ?

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

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

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}

\frac{d}{d x} ((ln (cos^{2} (x)))^{2})

3 (x^{3} - x), 0, - 1, 0

\int \frac{z}{z ^{2} + 1} d z

\frac{d}{d t} (arctan (t))

y = (x + 1)^{2}

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