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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

\frac{\partial}{\partial x} (2 x) = 2

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

x \to 0 lim (cot (5 x))

\frac{\partial}{\partial x} (2 y + 3 y sin (x))

\frac{d}{d x} (arcsin (\frac{x}{1 + x ^{2}}))

\int \frac{z ^{4} + 10 z ^{2} + 25}{z ^{3} + 5 z} d z

n = 1 \sum \infty (1 + \frac{1}{n})^{n}

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