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

Lösung

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

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

t^{2} y^{^{''}} - 3 t y^{^{'}} + 3 y = 0, y (1) = 5, y^{^{'}} (1) = 3

a re a 5 cos (4 x), 5 - 5 cos (4 x), [0, \frac{π}{4}]

\frac{\partial}{\partial x} (2 x - 4 y^{2} + 3 z^{2})

x \to 0 - lim (\frac{- \frac{1}{2}}{4 x})

t a y l or e^{(- x^{2})}