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Popular >

derivative of (arctan(x))^2

Solution

derivative of

(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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\int_{- \infty}^{0} \frac{1}{6 - 2 x} d x

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\frac{d}{d x} (\frac{3}{1 - x ^{2}})

(\partial)/(\partial x)(M/(2px))

\frac{\partial}{\partial x} (\frac{M}{2 p x})

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)