derivative f(x)=cos(sin(x^2))

Lösung

ableitung von

f (x) = cos (sin (x^{2}))

- sin (sin (x^{2})) cos (x^{2}) \cdot 2 x

Schritte zur Lösung

\frac{d}{d x} (cos (sin (x^{2})))

Wende die Kettenregel an:

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

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

\frac{d}{d x} (sin (x^{2})) = cos (x^{2}) \cdot 2 x

= - sin (sin (x^{2})) cos (x^{2}) \cdot 2 x

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

\int \frac{x ^{2}}{x ^{3} - 2} d x

d er i v a t i v e c f (x)

x \to 0 - lim (5 + \frac{2}{x})

\int \frac{1}{( sin ( x ) - cos ( x ) - 1 )} d x