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Beliebt Rechnen >

derivative of cos(x^2+y^2)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Beliebte Beispiele

fläche y^2=4x,y=2x+4

a re a y^{2} = 4 x, y = 2 x + 4

y^{''}+9y=-30sin(3t)

y^{^{''}} + 9 y = - 30 sin (3 t)

derivative of ln(sec(x-tan(x)))

\frac{d}{d x} (ln (sec (x) - tan (x)))

derivative of (2-x/x)

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

integral from-pi to pi of cos(nx)

\int_{- π}^{π} cos (n x) d x