derivative y=(arctan(5x))^2

Lösung

ableitung von

y = (arctan (5 x))^{2}

\frac{10 arctan ( 5 x )}{25 x ^{2} + 1}

Schritte zur Lösung

\frac{d}{d x} ((arctan (5 x))^{2})

Wende die Kettenregel an:

2 arctan (5 x) \frac{d}{d x} (arctan (5 x))

= 2 arctan (5 x) \frac{d}{d x} (arctan (5 x))

\frac{d}{d x} (arctan (5 x)) = \frac{5}{25 x ^{2} + 1}

= 2 arctan (5 x) \frac{5}{25 x ^{2} + 1}

Vereinfache

2 arctan (5 x) \frac{5}{25 x ^{2} + 1} : \frac{10 arctan ( 5 x )}{25 x ^{2} + 1}

= \frac{10 arctan ( 5 x )}{25 x ^{2} + 1}

k = 0 \sum \infty (\frac{x - 4}{5})^{k}

\frac{\partial}{\partial x} (2 x sin (y - z))

in v erse l a pl a ce \frac{3 e ^{(- 2 s)}}{( s ^{2} + 2 s + 5 )}

\int \frac{3 x ( 2 )}{( x )} d x

\frac{d}{d x} (\frac{ln ( x )}{x})