What is (\partial)/(\partial x)(2xarctan(y/z)) ?

The answer to (\partial)/(\partial x)(2xarctan(y/z)) is 2arctan(y/z)

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(\partial)/(\partial x)(2xarctan(y/z))

\frac{\partial}{\partial x} (2 x arctan (\frac{y}{z}))

2 arctan (\frac{y}{z})

Solution steps

\frac{\partial}{\partial x} (2 x arctan (\frac{y}{z}))

Treat

y, z

as constants

Take the constant out:

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

= 2 arctan (\frac{y}{z}) \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= 2 arctan (\frac{y}{z}) \cdot 1

Simplify

= 2 arctan (\frac{y}{z})

x \to 1 lim (\frac{in x}{x - 1})

\frac{1}{x + 1}

\int x (x^{2} - 1)^{7} d x

\int 5 x (x^{4} - \frac{1}{5}) d x

\int_{2}^{4} \frac{( x + y )}{55} d y

What is (\partial)/(\partial x)(2xarctan(y/z)) ?
The answer to (\partial)/(\partial x)(2xarctan(y/z)) is 2arctan(y/z)