What is (\partial)/(\partial x)(e^{3xyz-2}) ?

The answer to (\partial)/(\partial x)(e^{3xyz-2}) is e^{3xyz-2}*3yz

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(\partial)/(\partial x)(e^{3xyz-2})

\frac{\partial}{\partial x} (e^{3 x yz - 2})

e^{3 x yz - 2} \cdot 3 yz

Solution steps

\frac{\partial}{\partial x} (e^{3 x yz - 2})

Treat

y, z

as constants

Apply the chain rule:

e^{3 x yz - 2} \frac{\partial}{\partial x} (3 x yz - 2)

= e^{3 x yz - 2} \frac{\partial}{\partial x} (3 x yz - 2)

\frac{\partial}{\partial x} (3 x yz - 2) = 3 yz

= e^{3 x yz - 2} \cdot 3 yz

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

x \to \frac{π}{2} lim (\frac{sin ( x )}{x})

x = \frac{y ^{2}}{4}, x = \frac{y}{2} + 2

n = 0 \sum \infty n sin (nπ)

\int \frac{x}{x ( x + 4 )} d x

What is (\partial)/(\partial x)(e^{3xyz-2}) ?
The answer to (\partial)/(\partial x)(e^{3xyz-2}) is e^{3xyz-2}*3yz