What is (\partial)/(\partial x)(4xarctan(y/z)) ?

The answer to (\partial)/(\partial x)(4xarctan(y/z)) is 4arctan(y/z)

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(\partial)/(\partial x)(4xarctan(y/z))

\frac{\partial}{\partial x} (4 x arctan (\frac{y}{z}))

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

Solution steps

\frac{\partial}{\partial x} (4 x arctan (\frac{y}{z}))

Treat

y, z

as constants

Take the constant out:

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

= 4 arctan (\frac{y}{z}) \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= 4 arctan (\frac{y}{z}) \cdot 1

Simplify

= 4 arctan (\frac{y}{z})

sin^{l n (x)} (7 x)

\int \frac{x ^{2} - 5 x - 4}{( x ^{2} - 9 ) ( x + 2 )} d x

\frac{d}{d x} (4 - \frac{9}{2 x ^{\frac{1}{10}}})

\frac{d}{d x} (\frac{5}{x - 4})

y^{^{''}} + y = csc (x)

What is (\partial)/(\partial x)(4xarctan(y/z)) ?
The answer to (\partial)/(\partial x)(4xarctan(y/z)) is 4arctan(y/z)