What is (\partial)/(\partial x)(7x^2+e^{2y}) ?

The answer to (\partial)/(\partial x)(7x^2+e^{2y}) is 14x

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(\partial)/(\partial x)(7x^2+e^{2y})

\frac{\partial}{\partial x} (7 x^{2} + e^{2 y})

14 x

Solution steps

\frac{\partial}{\partial x} (7 x^{2} + e^{2 y})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (7 x^{2}) + \frac{\partial}{\partial x} (e^{2 y})

\frac{\partial}{\partial x} (7 x^{2}) = 14 x

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

= 14 x + 0

Simplify

= 14 x

What is (\partial)/(\partial x)(7x^2+e^{2y}) ?
The answer to (\partial)/(\partial x)(7x^2+e^{2y}) is 14x