What is (\partial)/(\partial x)(xe^{y/z}) ?

The answer to (\partial)/(\partial x)(xe^{y/z}) is e^{y/z}

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(\partial)/(\partial x)(xe^{y/z})

\frac{\partial}{\partial x} (x e^{\frac{y}{z}})

e^{\frac{y}{z}}

Solution steps

\frac{\partial}{\partial x} (x e^{\frac{y}{z}})

Treat

y, z

as constants

Take the constant out:

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

= e^{\frac{y}{z}} \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= e^{\frac{y}{z}} \cdot 1

Simplify

= e^{\frac{y}{z}}

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

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

y = e^{π}

x \to \frac{π}{2} lim ((sin (x) - cos (x))^{t a n (x)})

\int 8 x e^{9 x} d x

What is (\partial)/(\partial x)(xe^{y/z}) ?
The answer to (\partial)/(\partial x)(xe^{y/z}) is e^{y/z}