What is (\partial)/(\partial y)(e^{2x}*sin(y)) ?

The answer to (\partial)/(\partial y)(e^{2x}*sin(y)) is e^{2x}cos(y)

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(\partial)/(\partial y)(e^{2x}*sin(y))

\frac{\partial}{\partial y} (e^{2 x} \cdot sin (y))

e^{2 x} cos (y)

Solution steps

\frac{\partial}{\partial y} (e^{2 x} sin (y))

Treat

x

as a constant

Take the constant out:

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

= e^{2 x} \frac{\partial}{\partial y} (sin (y))

Apply the common derivative:

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

= e^{2 x} cos (y)

y = \frac{x ^{3}}{( x - 1 ) ^{2}}

\int cos (x) (2 + 7 sin^{2} (x)) d x

x \to \infty lim (\frac{2 ^{x + 1} + 3 ^{x}}{2 ^{x} + 3 ^{x + 1}})

x \to 0 + lim (- ln (x))

\int \frac{y ^{2} + 1}{y + 1} d y

What is (\partial)/(\partial y)(e^{2x}*sin(y)) ?
The answer to (\partial)/(\partial y)(e^{2x}*sin(y)) is e^{2x}cos(y)