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Popular >

derivative of (arctan(x)^2)

Solution

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

Solution

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

Solution steps

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

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}

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Frequently Asked Questions (FAQ)

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