derivative arccos(ax)

Lösung

ableitung von

arccos (a x)

- \frac{a}{1 - a ^{2} x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (arccos (a x))

Wende die Kettenregel an:

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

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

\frac{d}{d x} (a x) = a

= - \frac{1}{1 - ( a x ) ^{2}} a

Vereinfache

- \frac{1}{1 - ( a x ) ^{2}} a : - \frac{a}{1 - a ^{2} x ^{2}}

= - \frac{a}{1 - a ^{2} x ^{2}}

\frac{\partial}{\partial x} (x^{2} + y^{2} + 10)

\int_{0}^{\infty} 15 e^{- 5 x} d x

t an g e n t f (x) = 6 x - x^{2}, (1, 5)

d er i v a t i v e f (x) = \frac{1}{x + 8}

y^{^{'}} - y = x e^{2 x} + 1