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

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

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

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

- e^{x} cos (y)

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial y} (sin (y)) = cos (y)

= - e^{x} cos (y)

y^{^{'}} + y (1 - 2 x) = - \frac{x ^{2}}{2} y

y = e^{\frac{1}{x ^{2}}} + \frac{1}{e ^{x^{2}}}

\frac{d}{d x} (\frac{2 x}{x + 20})

y d y = - x d x

\frac{\partial}{\partial x} (x^{2} - 0.1 \cdot cos (6 \cdot x))

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