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

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

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

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

y

Solution steps

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

Treat

y, z

as constants

Apply the Sum/Difference Rule:

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

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

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

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

= y + 0

Simplify

= y

\frac{d}{d t} ((t (y^{2} + y))^{- 1})

\int \frac{9 e ^{9 t}}{3 + e ^{9 t}} d t

\frac{d}{d x} (1 - 5 x)

n = 1 \sum \infty \frac{3}{2 ^{n}}

\int_{- 1}^{1} 5 x d x

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