What is (\partial)/(\partial x)(2x+5y) ?

The answer to (\partial)/(\partial x)(2x+5y) is 2

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(\partial)/(\partial x)(2x+5y)

\frac{\partial}{\partial x} (2 x + 5 y)

2

Solution steps

\frac{\partial}{\partial x} (2 x + 5 y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (2 x) + \frac{\partial}{\partial x} (5 y)

\frac{\partial}{\partial x} (2 x) = 2

\frac{\partial}{\partial x} (5 y) = 0

= 2 + 0

Simplify

= 2

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\int t (t^{2} - 3 t + 5) d t

f (x) = \frac{3}{x + 1}, at x = 2

\int sin^{2} (θ) cos^{5} (θ) d θ

What is (\partial)/(\partial x)(2x+5y) ?
The answer to (\partial)/(\partial x)(2x+5y) is 2