What is (\partial)/(\partial x)((4x)/((y+2z)^3)) ?

The answer to (\partial)/(\partial x)((4x)/((y+2z)^3)) is 4/((y+2z)^3)

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(\partial)/(\partial x)((4x)/((y+2z)^3))

\frac{\partial}{\partial x} (\frac{4 x}{( y + 2 z ) ^{3}})

\frac{4}{( y + 2 z ) ^{3}}

Solution steps

\frac{\partial}{\partial x} (\frac{4 x}{( y + 2 z ) ^{3}})

Treat

y, z

as constants

Take the constant out:

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

= \frac{4}{( y + 2 z ) ^{3}} \frac{\partial}{\partial x} (x)

Apply the common derivative:

\frac{\partial}{\partial x} (x) = 1

= \frac{4}{( y + 2 z ) ^{3}} \cdot 1

Simplify

= \frac{4}{( y + 2 z ) ^{3}}

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What is (\partial)/(\partial x)((4x)/((y+2z)^3)) ?
The answer to (\partial)/(\partial x)((4x)/((y+2z)^3)) is 4/((y+2z)^3)