What is (\partial)/(\partial x)(xy+3x) ?

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

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(\partial)/(\partial x)(xy+3x)

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

y + 3

Solution steps

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

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

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

= y + 3

(1 + 4 x^{2}) y^{^{'}} = 1

e^{- k x}

arccot (2 y)

\int_{0}^{π} 9 cos^{2} (x) d x

\frac{d}{d y} (- sin (y))

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