What is (\partial)/(\partial x)(e^{x-2}-y/2) ?

The answer to (\partial)/(\partial x)(e^{x-2}-y/2) is e^{x-2}

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(\partial)/(\partial x)(e^{x-2}-y/2)

\frac{\partial}{\partial x} (e^{x - 2} - \frac{y}{2})

e^{x - 2}

Solution steps

\frac{\partial}{\partial x} (e^{x - 2} - \frac{y}{2})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (e^{x - 2}) - \frac{\partial}{\partial x} (\frac{y}{2})

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

\frac{\partial}{\partial x} (\frac{y}{2}) = 0

= e^{x - 2} - 0

Simplify

= e^{x - 2}

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What is (\partial)/(\partial x)(e^{x-2}-y/2) ?
The answer to (\partial)/(\partial x)(e^{x-2}-y/2) is e^{x-2}