What is (\partial)/(\partial x)(ye^{xz}) ?

The answer to (\partial)/(\partial x)(ye^{xz}) is ye^{xz}z

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(\partial)/(\partial x)(ye^{xz})

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

y e^{x z} z

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= y e^{x z} z

\frac{d}{d x} (6 x^{2} sin (x) tan (x))

\int 1 + (e^{x})^{2} d x

\int 3 \cdot e^{- 3 y + 6} d y

\frac{d}{d x} (\frac{1 - 2 ln ( x )}{x ^{3}})

\frac{d}{d x} (i n^{2} x)

What is (\partial)/(\partial x)(ye^{xz}) ?
The answer to (\partial)/(\partial x)(ye^{xz}) is ye^{xz}z