What is (\partial)/(\partial x)(xtan(y+3z)) ?

The answer to (\partial)/(\partial x)(xtan(y+3z)) is tan(y+3z)

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(\partial)/(\partial x)(xtan(y+3z))

\frac{\partial}{\partial x} (x tan (y + 3 z))

tan (y + 3 z)

Solution steps

\frac{\partial}{\partial x} (x tan (y + 3 z))

Treat

y, z

as constants

Take the constant out:

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

= tan (y + 3 z) \frac{\partial}{\partial x} (x)

Apply the common derivative:

\frac{\partial}{\partial x} (x) = 1

= tan (y + 3 z) \cdot 1

Simplify

= tan (y + 3 z)

\frac{d}{d x} (2 (1 - cos (x)))

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

\frac{d}{d x} ((3 x^{2} - 5 x)^{3})

x \to + 5 lim (5 - x)

\int_{2}^{3} \frac{1}{x ^{\frac{2}{3}}} d x

What is (\partial)/(\partial x)(xtan(y+3z)) ?
The answer to (\partial)/(\partial x)(xtan(y+3z)) is tan(y+3z)