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Beliebt Rechnen >

derivative y=-2sin(x^2)

Lösung

ableitung von

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

Lösung

- 4 x cos (x^{2})

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Graph

Beliebte Beispiele

integral of (2x^2+1)e^{x^2}

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

integral of e^{6t}cos(2t)

\int e^{6 t} cos (2 t) d t

integral from 0 to 2pi of 3sin(2t)

\int_{0}^{2 π} 3 sin (2 t) d t

derivative of ln((8x/(x+5)))

\frac{d}{d x} (ln (\frac{8 x}{x + 5}))

limit as x approaches 5 of 1/((x-5)^3)

x \to 5 lim (\frac{1}{( x - 5 ) ^{3}})