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Beliebt Rechnen >

derivative of ax^3+bx^2+c

Lösung

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

Lösung

3 a x^{2} + 2 b x

Schritte zur Lösung

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

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 c}{d x}

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

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

\frac{d c}{d x} = 0

= 3 a x^{2} + 2 b x + 0

Vereinfache

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

Graph

Beliebte Beispiele

(dy)/(dx)=e^{2x}-3y,y(0)=1

\frac{d y}{d x} = e^{2 x} - 3 y, y (0) = 1

derivative 4sec(x)-8cos(x)

d er i v a t i v e 4 sec (x) - 8 cos (x)

integral from 0 to 1 of xe^{-7x^2}

\int_{0}^{1} x e^{- 7 x^{2}} d x

integral of (e^{cos^2(x)})/(csc(2x))

\int \frac{e ^{c o s^{2} (x)}}{csc ( 2 x )} d x

integral of (e^{-x})/(x^2)

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