What is (\partial)/(\partial x)(10x+4y) ?

The answer to (\partial)/(\partial x)(10x+4y) is 10

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(\partial)/(\partial x)(10x+4y)

\frac{\partial}{\partial x} (10 x + 4 y)

10

Solution steps

\frac{\partial}{\partial x} (10 x + 4 y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (10 x) + \frac{\partial}{\partial x} (4 y)

\frac{\partial}{\partial x} (10 x) = 10

\frac{\partial}{\partial x} (4 y) = 0

= 10 + 0

Simplify

= 10

- \frac{4}{x ^{2}}

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\frac{\partial}{\partial x} (- \frac{x}{( x ^{2} + y ^{2} + 1 )})

\frac{d}{d x} (2 + ln (x))

What is (\partial)/(\partial x)(10x+4y) ?
The answer to (\partial)/(\partial x)(10x+4y) is 10