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Beliebt Rechnen >

derivative of (x^2+10^6)

Lösung

\frac{d}{d x} ((x^{2} + 10)^{6})

Lösung

12 x (x^{2} + 10)^{5}

Schritte zur Lösung

\frac{d}{d x} ((x^{2} + 10)^{6})

Wende die Kettenregel an:

6 (x^{2} + 10)^{5} \frac{d}{d x} (x^{2} + 10)

= 6 (x^{2} + 10)^{5} \frac{d}{d x} (x^{2} + 10)

\frac{d}{d x} (x^{2} + 10) = 2 x

= 6 (x^{2} + 10)^{5} \cdot 2 x

Vereinfache

= 12 x (x^{2} + 10)^{5}

Graph

Beliebte Beispiele

limit as x approaches 0 of (sin(6x^2))/(1-cos(3x))

x \to 0 lim (\frac{sin ( 6 x ^{2} )}{1 - cos ( 3 x )})

integral of (1+x^2)^{-2}

\int (1 + x^{2})^{- 2} d x

(x^{6})^{^{'}}

derivative of sqrt(9+x^2)

\frac{d}{d x} (9 + x^{2})

derivative of e^{x^4y}

\frac{d}{d x} (e^{x^{4} y})