What is (\partial)/(\partial x)(-13e^xsin(y)-14y) ?

The answer to (\partial)/(\partial x)(-13e^xsin(y)-14y) is -13e^xsin(y)

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(\partial)/(\partial x)(-13e^xsin(y)-14y)

\frac{\partial}{\partial x} (- 13 e^{x} sin (y) - 14 y)

- 13 e^{x} sin (y)

Solution steps

\frac{\partial}{\partial x} (- 13 e^{x} sin (y) - 14 y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= - \frac{\partial}{\partial x} (13 e^{x} sin (y)) - \frac{\partial}{\partial x} (14 y)

\frac{\partial}{\partial x} (13 e^{x} sin (y)) = 13 sin (y) e^{x}

\frac{\partial}{\partial x} (14 y) = 0

= - 13 sin (y) e^{x} - 0

Simplify

= - 13 e^{x} sin (y)

What is (\partial)/(\partial x)(-13e^xsin(y)-14y) ?
The answer to (\partial)/(\partial x)(-13e^xsin(y)-14y) is -13e^xsin(y)