What is (\partial)/(\partial y)(3xsin(y)) ?

The answer to (\partial)/(\partial y)(3xsin(y)) is 3xcos(y)

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(\partial)/(\partial y)(3xsin(y))

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

3 x cos (y)

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= 3 x cos (y)

\int 7 x^{\frac{2}{5}} + 2 x^{- \frac{4}{5}} d x

\frac{d}{d x} (tan (x^{2} + y))

\frac{d}{d x} (3 arcsin (x))

\int \frac{1}{( x ^{2} - 81 ) ^{\frac{3}{2}}} d x

\frac{3}{( s + 2 ) ^{3}}

What is (\partial)/(\partial y)(3xsin(y)) ?
The answer to (\partial)/(\partial y)(3xsin(y)) is 3xcos(y)