derivative of cos^2(x^2-2)

Lösung

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

- 2 x sin (- 4 + 2 x^{2})

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

2 cos (x^{2} - 2) (- sin (x^{2} - 2) \cdot 2 x) : - 2 x sin (- 4 + 2 x^{2})

= - 2 x sin (- 4 + 2 x^{2})

\frac{\partial}{\partial x} (\frac{y}{2 x})

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

t^{2} y^{^{'}} + t y = 3, y (1) = 6

d er i v a t i v e f (x) = 9 x

a re a y = - x, y = \frac{1}{2} x - \frac{3}{2}, x = - 1, x = 3