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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int y + y^{2} cos (x) d x

\frac{8 x ^{2} + 8 + 4}{x}

\int (x + 5) 10 x + x^{2} d x

f (x) = x + \frac{4}{x}, (4, 5)

\frac{\partial}{\partial x} (y sin (x y))

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