What is (\partial)/(\partial x)(xcos(y/z)) ?

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

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(\partial)/(\partial x)(xcos(y/z))

\frac{\partial}{\partial x} (x cos (\frac{y}{z}))

cos (\frac{y}{z})

Solution steps

\frac{\partial}{\partial x} (x cos (\frac{y}{z}))

Treat

y, z

as constants

Take the constant out:

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

= cos (\frac{y}{z}) \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= cos (\frac{y}{z}) \cdot 1

Simplify

= cos (\frac{y}{z})

\frac{d}{d x} (x + e^{- x})

\frac{\partial}{\partial y} (3 x^{2} y^{4})

\frac{d}{d x} (\frac{x - 2}{x - 2})

x \to 0 lim (sin (- \frac{1}{x}))

f (x) = x^{3} - 3 x^{2} + 2

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