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Beliebt Rechnen >

derivative of 6x^2+8x+6

Lösung

\frac{d}{d x} (6 x^{2} + 8 x + 6)

Lösung

12 x + 8

Schritte zur Lösung

\frac{d}{d x} (6 x^{2} + 8 x + 6)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (6 x^{2}) + \frac{d}{d x} (8 x) + \frac{d}{d x} (6)

\frac{d}{d x} (6 x^{2}) = 12 x

\frac{d}{d x} (8 x) = 8

\frac{d}{d x} (6) = 0

= 12 x + 8 + 0

Vereinfache

= 12 x + 8

Graph

Beliebte Beispiele

integral of x^{15}e^{-x^8}

\int x^{15} e^{- x^{8}} d x

integral of (2x+5)(x^2+5x)^7

\int (2 x + 5) (x^{2} + 5 x)^{7} d x

(dy)/(dx)=(13xy)/((ln(y))^{10)}

\frac{d y}{d x} = \frac{13 x y}{( ln ( y ) ) ^{10}}

y^{^{'}} = \frac{5 y}{x + 3}

limit as x approaches-7 of (x^2-2)/(7-x)

x \to - 7 lim (\frac{x ^{2} - 2}{7 - x})