de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of arccos(e^{5x})

Lösung

\frac{d}{d x} (arccos (e^{5 x}))

Lösung

- \frac{5 e ^{5 x}}{1 - e ^{10 x}}

Schritte zur Lösung

\frac{d}{d x} (arccos (e^{5 x}))

Wende die Kettenregel an:

- \frac{1}{1 - ( e ^{5 x} ) ^{2}} \frac{d}{d x} (e^{5 x})

= - \frac{1}{1 - ( e ^{5 x} ) ^{2}} \frac{d}{d x} (e^{5 x})

\frac{d}{d x} (e^{5 x}) = e^{5 x} \cdot 5

= - \frac{1}{1 - ( e ^{5 x} ) ^{2}} e^{5 x} \cdot 5

Vereinfache

- \frac{1}{1 - ( e ^{5 x} ) ^{2}} e^{5 x} \cdot 5 : - \frac{5 e ^{5 x}}{1 - e ^{10 x}}

= - \frac{5 e ^{5 x}}{1 - e ^{10 x}}

Graph

Beliebte Beispiele

derivative y=2sec(x)-csc(x)

d er i v a t i v e y = 2 sec (x) - csc (x)

2x^2y^'=y^'+6xe-y

2 x^{2} y^{^{'}} = y^{^{'}} + 6 x e - y

limit as x approaches 0-of sqrt(x)

x \to 0 - lim (x)

fläche f(x)=x^2+2x,g(x)=x+2

a re a f (x) = x^{2} + 2 x, g (x) = x + 2

integral of 2/(x^2-4)

\int \frac{2}{x ^{2} - 4} d x