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Beliebt Rechnen >

derivative of x^2+Ax+B

Lösung

\frac{d}{d x} (x^{2} + A x + B)

Lösung

2 x + A

Schritte zur Lösung

\frac{d}{d x} (x^{2} + A x + B)

Behandle

A, B

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (A x) = A

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

= 2 x + A + 0

Vereinfache

= 2 x + A

Graph

Beliebte Beispiele

integral of 4xe^{4x}

\int 4 x e^{4 x} d x

derivative of (x^2/8-1/x)

\frac{d}{d x} (\frac{x ^{2}}{8} - \frac{1}{x})

integral of 1/(3x^2+4)

\int \frac{1}{3 x ^{2} + 4} d x

tangent y=3x+6cos(x),(pi/3 ,pi+3)

t an g e n t y = 3 x + 6 cos (x), (\frac{π}{3}, π + 3)

derivative y=(x^2+8)^2-4x

d er i v a t i v e y = (x^{2} + 8)^{2} - 4 x