What is the derivative of x-2arctan(x) ?

The derivative of x-2arctan(x) is 1-2/(x^2+1)

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

The first derivative of x-2arctan(x) is 1-2/(x^2+1)

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

1 - \frac{2}{x ^{2} + 1}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

\frac{d}{d x} (2 arctan (x)) = \frac{2}{x ^{2} + 1}

= 1 - \frac{2}{x ^{2} + 1}

What is the derivative of x-2arctan(x) ?
The derivative of x-2arctan(x) is 1-2/(x^2+1)
What is the first derivative of x-2arctan(x) ?
The first derivative of x-2arctan(x) is 1-2/(x^2+1)