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

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

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

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

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derivative of

2 arctan (x) - x

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\int sin (x) d x

f (x) = x^{4} e^{x}

x \to - 2 + lim (2 x)

\int e^{2 x} (e^{2 x} - e^{- 2 x}) d x

\frac{1}{1 - t}

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