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Beliebt Rechnen >

derivative of (x^2+x^6)

Lösung

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

Lösung

6 (x^{2} + x)^{5} (2 x + 1)

Schritte zur Lösung

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

Wende die Kettenregel an:

6 (x^{2} + x)^{5} \frac{d}{d x} (x^{2} + x)

= 6 (x^{2} + x)^{5} \frac{d}{d x} (x^{2} + x)

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

= 6 (x^{2} + x)^{5} (2 x + 1)

Graph

Beliebte Beispiele

fläche y=6-6x^2,y=0

a re a y = 6 - 6 x^{2}, y = 0

limit as x approaches 0 of (cos(x))^{csc(x)}

x \to 0 lim ((cos (x))^{c s c (x)})

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

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

integral of 3x^{-1}

\int 3 x^{- 1} d x

2xydx+(x^2-1)dy=0

2 x y d x + (x^{2} - 1) d y = 0