What is (\partial)/(\partial x)(e^x+z^2) ?

The answer to (\partial)/(\partial x)(e^x+z^2) is e^x

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(\partial)/(\partial x)(e^x+z^2)

\frac{\partial}{\partial x} (e^{x} + z^{2})

e^{x}

Solution steps

\frac{\partial}{\partial x} (e^{x} + z^{2})

Treat

z

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (e^{x}) + \frac{\partial}{\partial x} (z^{2})

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

\frac{\partial}{\partial x} (z^{2}) = 0

= e^{x} + 0

Simplify

= e^{x}

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What is (\partial)/(\partial x)(e^x+z^2) ?
The answer to (\partial)/(\partial x)(e^x+z^2) is e^x