What is (\partial)/(\partial x)(x-(2y+6x)/(13)) ?

The answer to (\partial)/(\partial x)(x-(2y+6x)/(13)) is 7/13

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(\partial)/(\partial x)(x-(2y+6x)/(13))

\frac{\partial}{\partial x} (x - \frac{2 y + 6 x}{13})

\frac{7}{13}

Decimal

0.53846 \dots

Solution steps

\frac{\partial}{\partial x} (x - \frac{2 y + 6 x}{13})

Treat

y

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (x) - \frac{\partial}{\partial x} (\frac{2 y + 6 x}{13})

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

\frac{\partial}{\partial x} (\frac{2 y + 6 x}{13}) = \frac{6}{13}

= 1 - \frac{6}{13}

Simplify

1 - \frac{6}{13} : \frac{7}{13}

= \frac{7}{13}

What is (\partial)/(\partial x)(x-(2y+6x)/(13)) ?
The answer to (\partial)/(\partial x)(x-(2y+6x)/(13)) is 7/13