What is the derivative of arctan(x/2+arctan(2/x)) ?

The derivative of arctan(x/2+arctan(2/x)) is 0

What is the first derivative of arctan(x/2+arctan(2/x)) ?

The first derivative of arctan(x/2+arctan(2/x)) is 0

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\frac{d}{d x} (arctan (\frac{x}{2}) + arctan (\frac{2}{x}))

0

Solution steps

\frac{d}{d x} (arctan (\frac{x}{2}) + arctan (\frac{2}{x}))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (arctan (\frac{x}{2})) + \frac{d}{d x} (arctan (\frac{2}{x}))

\frac{d}{d x} (arctan (\frac{x}{2})) = \frac{2}{x ^{2} + 4}

\frac{d}{d x} (arctan (\frac{2}{x})) = - \frac{2}{4 + x ^{2}}

= \frac{2}{x ^{2} + 4} - \frac{2}{4 + x ^{2}}

Simplify

\frac{2}{x ^{2} + 4} - \frac{2}{4 + x ^{2}} : 0

= 0

\frac{\partial}{\partial u} (\frac{v ^{2}}{u})

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

\int 2 x^{3} - 1 d x

\frac{1}{s - 1 ( s ^{2} )}

\int e^{2 l n (x)} d x

What is the derivative of arctan(x/2+arctan(2/x)) ?
The derivative of arctan(x/2+arctan(2/x)) is 0
What is the first derivative of arctan(x/2+arctan(2/x)) ?
The first derivative of arctan(x/2+arctan(2/x)) is 0