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

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

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

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

2 e^{2 x}

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= e^{2 x} \cdot 2 - 0

Simplify

= 2 e^{2 x}

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