What is (\partial)/(\partial x)((3x)/(7y+5z)) ?

The answer to (\partial)/(\partial x)((3x)/(7y+5z)) is 3/(7y+5z)

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(\partial)/(\partial x)((3x)/(7y+5z))

\frac{\partial}{\partial x} (\frac{3 x}{7 y + 5 z})

\frac{3}{7 y + 5 z}

Solution steps

\frac{\partial}{\partial x} (\frac{3 x}{7 y + 5 z})

Treat

y, z

as constants

Take the constant out:

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

= \frac{3}{7 y + 5 z} \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= \frac{3}{7 y + 5 z} \cdot 1

Simplify

= \frac{3}{7 y + 5 z}

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What is (\partial)/(\partial x)((3x)/(7y+5z)) ?
The answer to (\partial)/(\partial x)((3x)/(7y+5z)) is 3/(7y+5z)