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

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

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

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

e^{x z} z

Solution steps

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

Treat

z

as a constant

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

= e^{x z} z

x \to 0 + lim ((1 - 4 x)^{\frac{1}{x}})

\int 6 x (3 x^{2} + 4)^{4} d x

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

\frac{\partial}{\partial x} (x^{3} + y^{3} - 3 x y)

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