derivative y=arcsin(x^2)

Lösung

ableitung von

y = arcsin (x^{2})

\frac{2 x}{1 - x ^{4}}

Schritte zur Lösung

\frac{d}{d x} (arcsin (x^{2}))

Wende die Kettenregel an:

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

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

\frac{d}{d x} (x^{2}) = 2 x

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

Vereinfache

\frac{1}{1 - ( x ^{2} ) ^{2}} \cdot 2 x : \frac{2 x}{1 - x ^{4}}

= \frac{2 x}{1 - x ^{4}}

\int_{1}^{\infty} x^{- 9} d x

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

d er i v a t i v e f (x) = (x + 1) (- \frac{1}{x + 2})

\frac{\partial}{\partial x} (3 arctan (x y^{2}))

(cos (θ))^{^{'}}