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Beliebt Rechnen >

derivative f(x)=ax^3+bx^2+cx+d

Lösung

ableitung von

f (x) = a x^{3} + b x^{2} + c x + d

Lösung

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

Schritte zur Lösung

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

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} (c x) + \frac{dd}{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}{d x} (c x) = c

\frac{dd}{d x} = 0

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

Vereinfache

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

Graph

Beliebte Beispiele

integral of (9x+cos(x))

\int (9 x + cos (x)) d x

limit as x approaches-4 of x-4

x \to - 4 lim (x - 4)

derivative of In(x+sqrt(x^2+1))

\frac{d}{d x} (I n (x + x^{2} + 1))

derivative 3x^2-7x^3+x^4-5-3x

d er i v a t i v e 3 x^{2} - 7 x^{3} + x^{4} - 5 - 3 x

y^'=((t^2+3y^2))/(2ty)

y^{^{'}} = \frac{( t ^{2} + 3 y ^{2} )}{2 t y}