What is (\partial)/(\partial x)(xy+6x) ?

The answer to (\partial)/(\partial x)(xy+6x) is y+6

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(\partial)/(\partial x)(xy+6x)

\frac{\partial}{\partial x} (x y + 6 x)

y + 6

Solution steps

\frac{\partial}{\partial x} (x y + 6 x)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial x} (6 x) = 6

= y + 6

\int \frac{cos ^{5} ( x )}{sin ( x )} d x

n = 1 \sum \infty \frac{1}{n n}

\int_{\frac{3}{2}}^{\frac{5}{2}} e^{- s t} d t

y^{^{'}} = 4 - y

\int (\frac{2}{x ^{3}} + \frac{3}{x ^{2}} + 5) d x

What is (\partial)/(\partial x)(xy+6x) ?
The answer to (\partial)/(\partial x)(xy+6x) is y+6