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Beliebt Rechnen >

derivative of x^2y-x

Lösung

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

Lösung

2 x y + \frac{d y}{d x} x^{2} - 1

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d x}{d x} = 1

= 2 x y + \frac{d y}{d x} x^{2} - 1

Beliebte Beispiele

integral of (cos(5x)cos(3x))

\int (cos (5 x) cos (3 x)) d x

integral from 0 to 1 of x-x^3

\int_{0}^{1} x - x^{3} d x

(\partial)/(\partial x)(e^{-x^3-y^3})

\frac{\partial}{\partial x} (e^{- x^{3} - y^{3}})

d er i v a t i v e 5^{t}

f (x) = sin (x^{5})