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Beliebt Rechnen >

derivative of cos(x^2y)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Beliebte Beispiele

y^'=(xy+y^2)/(x^2)

y^{^{'}} = \frac{x y + y ^{2}}{x ^{2}}

y^{''}+4y^'+4y=(7+x)e^{-2x}

y^{^{''}} + 4 y^{^{'}} + 4 y = (7 + x) e^{- 2 x}

derivative of 1/x+2/(x^2)

\frac{d}{d x} (\frac{1}{x} + \frac{2}{x ^{2}})

derivative of (cos(x)^{ln(x)})

\frac{d}{d x} ((cos (x))^{l n (x)})

derivative sqrt(2+x)

d er i v a t i v e 2 + x