What is (\partial)/(\partial x)(xarctan(yz)) ?

The answer to (\partial)/(\partial x)(xarctan(yz)) is arctan(yz)

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(\partial)/(\partial x)(xarctan(yz))

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

arctan (yz)

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

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

Apply the common derivative:

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

= arctan (yz) \cdot 1

Simplify

= arctan (yz)

x \to 0 lim (\frac{sin ( \frac{x}{2} )}{x})

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

y^{^{''}} - 4 y^{^{'}} + 3 y = 0, y (0) = 2, y^{^{'}} (0) = 3

\int_{0}^{2} 5 d x

\frac{\partial}{\partial x} (x y^{9} - x^{2} y)

What is (\partial)/(\partial x)(xarctan(yz)) ?
The answer to (\partial)/(\partial x)(xarctan(yz)) is arctan(yz)