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

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

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

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

- sin (y) e^{x}

Solution steps

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

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the common derivative:

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

= - sin (y) e^{x}

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