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

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

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

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

5

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (5 x) = 5

\frac{\partial}{\partial x} (3 y) = 0

= 5 + 0

Simplify

= 5

y = 6 x^{2} + 3 x - 3

(lo g_{5} (x))^{^{'}}

\int_{x}^{x} \frac{e ^{x}}{x} d x

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

y = e^{- 2 x^{3}}

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