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

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

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(\partial)/(\partial x)(x*e^{y/z})

\frac{\partial}{\partial x} (x \cdot 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}}

n = 1 \sum \infty \frac{n}{n ^{5} + 1}

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

\int \frac{1}{8 + 3 x} d x

sin (5 x)

\frac{\partial}{\partial x} (x sin (2 y + x))

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