derivative of (arctan(7x)^2)

Lösung

\frac{d}{d x} ((arctan (7 x))^{2})

\frac{14 arctan ( 7 x )}{49 x ^{2} + 1}

Schritte zur Lösung

\frac{d}{d x} ((arctan (7 x))^{2})

Wende die Kettenregel an:

2 arctan (7 x) \frac{d}{d x} (arctan (7 x))

= 2 arctan (7 x) \frac{d}{d x} (arctan (7 x))

\frac{d}{d x} (arctan (7 x)) = \frac{7}{49 x ^{2} + 1}

= 2 arctan (7 x) \frac{7}{49 x ^{2} + 1}

Vereinfache

2 arctan (7 x) \frac{7}{49 x ^{2} + 1} : \frac{14 arctan ( 7 x )}{49 x ^{2} + 1}

= \frac{14 arctan ( 7 x )}{49 x ^{2} + 1}

x \to a lim (\frac{3 x - 3 a}{x ^{2} - a ^{2}})

y = 0 \sum \infty 2^{- 2 - y + x}

\frac{\partial}{\partial y} (x 1 + y^{5})

\int t e^{- a t} d t

6 t^{2} y^{^{''}} - 12 y = 14 t^{2} - 1