derivative of cos^2(x^3)

Lösung

\frac{d}{d x} (cos^{2} (x^{3}))

- 3 x^{2} sin (2 x^{3})

Schritte zur Lösung

\frac{d}{d x} (cos^{2} (x^{3}))

Wende die Kettenregel an:

2 cos (x^{3}) \frac{d}{d x} (cos (x^{3}))

= 2 cos (x^{3}) \frac{d}{d x} (cos (x^{3}))

\frac{d}{d x} (cos (x^{3})) = - sin (x^{3}) \cdot 3 x^{2}

= 2 cos (x^{3}) (- sin (x^{3}) \cdot 3 x^{2})

Vereinfache

2 cos (x^{3}) (- sin (x^{3}) \cdot 3 x^{2}) : - 3 x^{2} sin (2 x^{3})

= - 3 x^{2} sin (2 x^{3})

\int_{0}^{x} 1 + x^{2} d x

\frac{\partial}{\partial y} (x^{2} y + y^{2} z + x z^{2})

d er i v a t i v e f (x) = \frac{6 x - 1}{x ^{3}}

\int_{3}^{5} x^{3} d x

\int_{0}^{3} \frac{1}{x - 2} d x