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

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

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

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

a sin (y) cos (x)

Solution steps

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

Treat

a, y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= a sin (y) cos (x)

\frac{\partial}{\partial y} (x^{2} y - y^{2})

\frac{\partial}{\partial x} (\frac{2 s - 3 t}{3 s + 5 t})

\int \frac{1}{( x ^{2} + 9 ) ^{3}} d x

(x^{4} + 5 x^{2} - 5)^{4}

\frac{\partial}{\partial x} (2 + x ln (x y - 9))

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