derivative of 3arcsin(x)

Lösung

\frac{d}{d x} (3 arcsin (x))

\frac{3}{1 - x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (3 arcsin (x))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 \frac{d}{d x} (arcsin (x))

Wende die allgemeine Ableitungsregel an:

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

= 3 \cdot \frac{1}{1 - x ^{2}}

Vereinfache

3 \cdot \frac{1}{1 - x ^{2}} : \frac{3}{1 - x ^{2}}

= \frac{3}{1 - x ^{2}}

\int \frac{1}{( x ^{2} - 81 ) ^{\frac{3}{2}}} d x

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

a re a y = x^{3} - 2 x^{2} + 2, y = 3 x^{2} + 5 x - 23, - 1, 7

\frac{\partial}{\partial x} (x^{2} e^{- \frac{x}{y}})

\int_{1}^{5} \frac{e ^{\frac{x}{2}}}{x ^{3}} d x