What is (\partial)/(\partial x)(tan(xyz)) ?

The answer to (\partial)/(\partial x)(tan(xyz)) is sec^2(xyz)yz

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(\partial)/(\partial x)(tan(xyz))

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

sec^{2} (x yz) yz

Solution steps

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

Treat

y, z

as constants

Apply the chain rule:

sec^{2} (x yz) \frac{\partial}{\partial x} (x yz)

= sec^{2} (x yz) \frac{\partial}{\partial x} (x yz)

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

= sec^{2} (x yz) yz

\frac{\partial}{\partial x} (x^{7} y^{6} - x^{6} y^{5})

\int_{0}^{π} 15 sin^{2} (4 x) d x

\int 3 x^{2} e^{2 x} d x

n = 1 \sum \infty \frac{1}{n} \cdot x^{n}

What is (\partial)/(\partial x)(tan(xyz)) ?
The answer to (\partial)/(\partial x)(tan(xyz)) is sec^2(xyz)yz