derivative f(x)=csc(x^2)

Lösung

ableitung von

f (x) = csc (x^{2})

- cot (x^{2}) csc (x^{2}) \cdot 2 x

Schritte zur Lösung

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

Wende die Kettenregel an:

- cot (x^{2}) csc (x^{2}) \frac{d}{d x} (x^{2})

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

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

= - cot (x^{2}) csc (x^{2}) \cdot 2 x

\int \frac{- y}{1 + y ^{2}} d y

\int_{0}^{2} \frac{1}{4 - x ^{2}} d x

(e^{y} + 6 x) d x + x e^{y} d y = 0

x \to \frac{1}{2} lim (4 x^{2} - 8 x + 5)

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