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

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

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

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

3 sin (y) cos (x)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= 3 sin (y) cos (x)

\int \frac{4 - x}{4 + x} d x

\int (y^{\frac{2}{3}} - 4 y^{- \frac{1}{5}} + 4) d y

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

f (x) = \frac{5}{x ^{3}}

\int 8 u^{\frac{7}{2}} d u

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