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Beliebt Rechnen >

derivative sin(xy^2)

Lösung

ableitung von

sin (x y^{2})

Lösung

cos (x y^{2}) y^{2}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

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

= cos (x y^{2}) y^{2}

Beliebte Beispiele

limit as x approaches-3 of (x^3+27)/(x^2+13x+30)

x \to - 3 lim (\frac{x ^{3} + 27}{x ^{2} + 13 x + 30})

laplacetransform sin(θ)

l a pl a ce t r an s f or m sin (θ)

derivative of (d/(dx(sqrt(x)))^2)

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

(dy)/(dx)=2xe^{2y}

\frac{d y}{d x} = 2 x e^{2 y}

derivative of 2arctan(y/x)

\frac{d}{d x} (2 arctan (\frac{y}{x}))