What is (\partial)/(\partial x)(3exsin(y)) ?

The answer to (\partial)/(\partial x)(3exsin(y)) is 3esin(y)

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(\partial)/(\partial x)(3exsin(y))

\frac{\partial}{\partial x} (3 e x sin (y))

3 e sin (y)

Solution steps

\frac{\partial}{\partial x} (3 e x sin (y))

Treat

y

as a constant

Take the constant out:

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

= 3 e sin (y) \frac{\partial}{\partial x} (x)

Apply the common derivative:

\frac{\partial}{\partial x} (x) = 1

= 3 e sin (y) \cdot 1

Simplify

= 3 e sin (y)

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

\int - \frac{sin ^{2} ( x )}{cos ( x )} d x

\frac{d}{d x} (\frac{x ^{2} + 3}{x ^{2} - 1})

\frac{sin ( 4 t )}{cos ( 6 t )}

y = x^{3 x}

What is (\partial)/(\partial x)(3exsin(y)) ?
The answer to (\partial)/(\partial x)(3exsin(y)) is 3esin(y)