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

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

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

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

sin (y - z)

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

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

Apply the common derivative:

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

= sin (y - z) \cdot 1

Simplify

= sin (y - z)

\frac{d}{d t} (\frac{3 t}{5})

\frac{\partial}{\partial x} (6 - (x^{2} + y^{2})^{\frac{1}{5}})

\frac{\partial}{\partial y} (x \cdot e^{x y + 1})

y = x^{- 1}

y^{^{'}} = \frac{1}{x y}

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