What is (\partial)/(\partial z)(-4sqrt(xyz)) ?

The answer to (\partial)/(\partial z)(-4sqrt(xyz)) is -(2sqrt(x)sqrt(y))/(sqrt(z))

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(\partial)/(\partial z)(-4sqrt(xyz))

\frac{\partial}{\partial z} (- 4 x yz)

- \frac{2 x y}{z}

Solution steps

\frac{\partial}{\partial z} (- 4 x yz)

Treat

x, y

as constants

Take the constant out:

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

= - 4 \frac{\partial}{\partial z} (x yz)

Apply the chain rule:

\frac{1}{2 x yz} \frac{\partial}{\partial z} (x yz)

= \frac{1}{2 x yz} \frac{\partial}{\partial z} (x yz)

\frac{\partial}{\partial z} (x yz) = x y

= - 4 \cdot \frac{1}{2 x yz} x y

Simplify

- 4 \cdot \frac{1}{2 x yz} x y : - \frac{2 x y}{z}

= - \frac{2 x y}{z}

sec^{2} (x)

y^{^{''}} + 9 y = 5 cos (2 x)

f (x) = e^{s i n (x)}

x \to \infty lim ([8, x])

\frac{- 75 s - 25}{1 - 3 s ^{2}}

What is (\partial)/(\partial z)(-4sqrt(xyz)) ?
The answer to (\partial)/(\partial z)(-4sqrt(xyz)) is -(2sqrt(x)sqrt(y))/(sqrt(z))