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

The answer to (\partial)/(\partial x)(e^{xyz}) is e^{xyz}yz

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

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

e^{x yz} yz

Solution steps

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

Treat

y, z

as constants

Apply the chain rule:

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

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

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

= e^{x yz} yz

- 3 x^{2} + 4 x + 4

x \to 1 - lim (\frac{x ^{2} + 1}{x - 1})

y = \frac{- 8 x}{x ^{2} + 1}, (0, 0)

\int \frac{3}{t ^{4}} d t

\int \frac{1}{1 - e ^{x}} d x

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