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Beliebt Rechnen >

derivative of sin(x^2y)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

= cos (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}

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

Beliebte Beispiele

integral of (1-sin(x)+tan(x))

\int (1 - sin (x) + tan (x)) d x

integral of (12)/(sqrt(1-x^2))

\int \frac{12}{1 - x ^{2}} d x

derivative y=4e^{5x}

d er i v a t i v e y = 4 e^{5 x}

f (x) = x^{4} + 2 e^{x}

derivative sqrt(6)

d er i v a t i v e 6