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

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

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

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

sin (y)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial x} (x) = 1

= sin (y) \cdot 1

Simplify

= sin (y)

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

f (x) = \frac{14 x + 4 x ^{2}}{( 7 + 4 x ) ^{2}}

\frac{\partial}{\partial x} (- 2 k l (ln (\frac{y}{- x - y})))

\int \frac{1}{6 - x} d x

g (x) = 2 x - 3

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