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Beliebt Rechnen >

derivative of Ax^2+Bx

Lösung

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

Lösung

2 A x + B

Schritte zur Lösung

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

Behandle

A, B

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 A x + B

Graph

Beliebte Beispiele

integral of cos(5x)sin(6x)

\int cos (5 x) sin (6 x) d x

integral of xsqrt(x+3)

\int x x + 3 d x

(dy)/(dx)=((x+3y))/(y-3x)

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

limit as x approaches 3 of (x^3-6x^2+9)/(x^2-9)

x \to 3 lim (\frac{x ^{3} - 6 x ^{2} + 9}{x ^{2} - 9})

tangent y=7x-4x^2,(-3,-57)

t an g e n t y = 7 x - 4 x^{2}, (- 3, - 57)