derivative y=(arctan(x))^2

解答

导数

y = (arctan (x))^{2}

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

求解步骤

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

使用连锁律:

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}

化简

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

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

\frac{d}{d x} (x^{2} - 16)

\int_{- l n (4)}^{0} 63 e^{t} d t

\frac{d}{d x} (\frac{e ^{x}}{x + 2})

f (x) = (2 x^{2} - 4)^{4}

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