What is (\partial)/(\partial z)(e^{xy}sin(z)) ?

The answer to (\partial)/(\partial z)(e^{xy}sin(z)) is e^{xy}cos(z)

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(\partial)/(\partial z)(e^{xy}sin(z))

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

e^{x y} cos (z)

Solution steps

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

Treat

x, y

as constants

Take the constant out:

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

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

Apply the common derivative:

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

= e^{x y} cos (z)

\int (x^{2} + 3 x)^{4} (2 x + 3) d x

4 - 2 e^{- 4 t}

(\frac{ln ( x )}{x})^{^{'}}

x \to + 4 lim (x - 2)

\int_{0}^{π} (x cos (2 x)) d x

What is (\partial)/(\partial z)(e^{xy}sin(z)) ?
The answer to (\partial)/(\partial z)(e^{xy}sin(z)) is e^{xy}cos(z)