What is (\partial)/(\partial x)((9x)/(7y+8z)) ?

The answer to (\partial)/(\partial x)((9x)/(7y+8z)) is 9/(7y+8z)

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(\partial)/(\partial x)((9x)/(7y+8z))

\frac{\partial}{\partial x} (\frac{9 x}{7 y + 8 z})

\frac{9}{7 y + 8 z}

Solution steps

\frac{\partial}{\partial x} (\frac{9 x}{7 y + 8 z})

Treat

y, z

as constants

Take the constant out:

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

= \frac{9}{7 y + 8 z} \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= \frac{9}{7 y + 8 z} \cdot 1

Simplify

= \frac{9}{7 y + 8 z}

\frac{x d y}{d x} + 6 y = x^{3} - x

\int 8 x e^{2 x} d x

\frac{1}{m + k e ^{m}}

\int \frac{3 x ^{3} + 9 x ^{2} + 2 x + 6}{x ^{4} + x ^{2}} d x

x \cdot sec (x)

What is (\partial)/(\partial x)((9x)/(7y+8z)) ?
The answer to (\partial)/(\partial x)((9x)/(7y+8z)) is 9/(7y+8z)