What is the derivative of sqrt(xy) ?

The derivative of sqrt(xy) is 1/(2sqrt(xy))y

What is the first derivative of sqrt(xy) ?

The first derivative of sqrt(xy) is 1/(2sqrt(xy))y

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derivative of

x y

\frac{1}{2 x y} y

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

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

\frac{s - 30}{s ( s ^{2} + 4 s + 29 )}

\int x^{4} d x

y = 5 x^{3} - 4 x^{2} + 3 x - 6

\frac{\partial}{\partial x} (2 x y arcsin (yz))

\frac{1}{2 x} + 2 x

What is the derivative of sqrt(xy) ?
The derivative of sqrt(xy) is 1/(2sqrt(xy))y
What is the first derivative of sqrt(xy) ?
The first derivative of sqrt(xy) is 1/(2sqrt(xy))y