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

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

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

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

sin (y) cos (x)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= sin (y) cos (x)

(x \cdot \frac{d y}{d x} - y) cos (\frac{y}{x}) + x = 0

\int \frac{x ^{6} + 2 x ^{4} + 6 x - 9}{x ^{3} + 3} d x

\frac{6}{( 1 - x ) ^{3}}

k \to \infty lim ((- 1)^{k})

x \to \infty lim (7 x^{2})

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