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

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

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

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

2

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 0 + 2

Simplify

= 2

\int_{1}^{3} 3 x^{- \frac{3}{2}} d x

\int (5 x^{4} + 12 x^{3} + 6 x - 2) d x

(2 y + 2 t - 3) d t + (8 y + 2 t - 1) d y = 0

\frac{1}{3} (16 + x^{2})^{\frac{3}{2}} + \frac{16}{3}

\frac{d}{d x} (\frac{x ^{2} + 4 x + 13}{x + 2})

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