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Beliebt Rechnen >

derivative of ax^3+bx^2

Lösung

\frac{d}{d x} (a x^{3} + b x^{2})

Lösung

3 a x^{2} + 2 b x

Schritte zur Lösung

\frac{d}{d x} (a x^{3} + b x^{2})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (a x^{3}) + \frac{d}{d x} (b x^{2})

\frac{d}{d x} (a x^{3}) = 3 a x^{2}

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

= 3 a x^{2} + 2 b x

Graph

Beliebte Beispiele

derivative g(x)=sqrt(9-x)

d er i v a t i v e g (x) = 9 - x

(dy)/(dx)=(10x)/(3y)

\frac{d y}{d x} = \frac{10 x}{3 y}

integral of x^3e^{-x}

\int x^{3} e^{- x} d x

limit as x approaches 0 of x*csc(x)

x \to 0 lim (x \cdot csc (x))

limit as x approaches 0 of 5x-2

x \to 0 lim (5 x - 2)