What is (\partial)/(\partial x)(x+e^z+y) ?

The answer to (\partial)/(\partial x)(x+e^z+y) is 1

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(\partial)/(\partial x)(x+e^z+y)

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

1

Solution steps

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

Treat

z, y

as constants

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (x) = 1

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

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

= 1 + 0 + 0

Simplify

= 1

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What is (\partial)/(\partial x)(x+e^z+y) ?
The answer to (\partial)/(\partial x)(x+e^z+y) is 1