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Beliebt Rechnen >

derivative f(x)=(6x+2)^3

Lösung

ableitung von

f (x) = (6 x + 2)^{3}

Lösung

18 (6 x + 2)^{2}

Schritte zur Lösung

\frac{d}{d x} ((6 x + 2)^{3})

Wende die Kettenregel an:

3 (6 x + 2)^{2} \frac{d}{d x} (6 x + 2)

= 3 (6 x + 2)^{2} \frac{d}{d x} (6 x + 2)

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

= 3 (6 x + 2)^{2} \cdot 6

Vereinfache

= 18 (6 x + 2)^{2}

Graph

Beliebte Beispiele

derivative of (x^4/4+8/9 x^3-x^2+3x-8)

\frac{d}{d x} (\frac{x ^{4}}{4} + \frac{8}{9} x^{3} - x^{2} + 3 x - 8)

limit as x approaches 0 of (x^3)/3

x \to 0 lim (\frac{x ^{3}}{3})

derivative of-5x^4

\frac{d}{d x} (- 5 x^{4})

integral of (x+1)e^{5x^2+10x}

\int (x + 1) e^{5 x^{2} + 10 x} d x

derivative (1+9x^2)(x-x^2)

d er i v a t i v e (1 + 9 x^{2}) (x - x^{2})