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Beliebt Rechnen >

derivative of pix(x-3)

Lösung

\frac{d}{d x} (π x (x - 3))

Lösung

π (2 x - 3)

Schritte zur Lösung

\frac{d}{d x} (π x (x - 3))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= π \frac{d}{d x} (x (x - 3))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = x - 3

= π (\frac{d x}{d x} (x - 3) + \frac{d}{d x} (x - 3) x)

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

\frac{d}{d x} (x - 3) = 1

= π (1 \cdot (x - 3) + 1 \cdot x)

Vereinfache

π (1 \cdot (x - 3) + 1 \cdot x) : π (2 x - 3)

= π (2 x - 3)

Graph

Beliebte Beispiele

integral from-2pi to 2pi of pisin^2(x)

\int_{- 2 π}^{2 π} π sin^{2} (x) d x

integral of sec^3(1-4x)

\int sec^{3} (1 - 4 x) d x

y^{''}-10y^'+25y=0,y(0)=0,y^'(0)=3

y^{^{''}} - 10 y^{^{'}} + 25 y = 0, y (0) = 0, y^{^{'}} (0) = 3

integral of xe^{-2x}

\int x e^{- 2 x} d x

integral of (x^2)/(x-7)

\int \frac{x ^{2}}{x - 7} d x