(\partial)/(\partial t)(3arcsin(t))

Lösung

\frac{\partial}{\partial t} (3 arcsin (t))

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

Schritte zur Lösung

\frac{\partial}{\partial t} (3 arcsin (t))

Entferne die Konstante:

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

= 3 \frac{\partial}{\partial t} (arcsin (t))

Wende die allgemeine Ableitungsregel an:

\frac{\partial}{\partial t} (arcsin (t)) = \frac{1}{1 - t ^{2}}

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

Vereinfache

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

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

t an g e n t (x^{2} + y^{2})^{2} = 4 x^{2} y, (- 1, 1)

\int_{1}^{10} \frac{x ^{2} - 1}{x} d x

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

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

\frac{d}{d x} ((x - 6) (5 x + 1))