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

The answer to (\partial)/(\partial y)(3sin(x)sin(y)) is 3sin(x)cos(y)

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

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

3 sin (x) cos (y)

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= 3 sin (x) cos (y)

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

e^{x}, 3

y = 5 x, at x = 4, x = 9

\int_{1}^{3} x e^{- x} d x

\int sec^{2} (2 t) d t

What is (\partial)/(\partial y)(3sin(x)sin(y)) ?
The answer to (\partial)/(\partial y)(3sin(x)sin(y)) is 3sin(x)cos(y)