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

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

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(\partial)/(\partial x)(e^{xsin(y)})

\frac{\partial}{\partial x} (e^{x s i n (y)})

e^{x s i n (y)} sin (y)

Solution steps

\frac{\partial}{\partial x} (e^{x s i n (y)})

Treat

y

as a constant

Apply the chain rule:

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

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

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

= e^{x s i n (y)} sin (y)

1 + 2 x

x \to 2 lim (\frac{3 x + 4}{8 x - 1})

\int \frac{1}{u 3 - u ^{2}} d u

\int x x^{'} d x

\frac{400}{s ( s ^{2} + 200 )}

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