What is (\partial)/(\partial x)(e^ysin(x)) ?

The answer to (\partial)/(\partial x)(e^ysin(x)) is e^ycos(x)

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(\partial)/(\partial x)(e^ysin(x))

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

e^{y} cos (x)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= e^{y} cos (x)

x \to 0 lim (\frac{∣ x - 3 ∣}{x - 3})

\frac{\partial}{\partial x} (ln (x^{6} + y^{6}))

\int e^{- 5 x} d x

\int 3 sin (4 x) d x

\frac{\partial}{\partial x} (- 3)

What is (\partial)/(\partial x)(e^ysin(x)) ?
The answer to (\partial)/(\partial x)(e^ysin(x)) is e^ycos(x)