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Beliebt Rechnen >

derivative of (6x^2+8^6)

Lösung

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

Lösung

72 x (6 x^{2} + 8)^{5}

Schritte zur Lösung

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

Wende die Kettenregel an:

6 (6 x^{2} + 8)^{5} \frac{d}{d x} (6 x^{2} + 8)

= 6 (6 x^{2} + 8)^{5} \frac{d}{d x} (6 x^{2} + 8)

\frac{d}{d x} (6 x^{2} + 8) = 12 x

= 6 (6 x^{2} + 8)^{5} \cdot 12 x

Vereinfache

= 72 x (6 x^{2} + 8)^{5}

Graph

Beliebte Beispiele

integral from 0 to 3 of-x^2+3x

\int_{0}^{3} - x^{2} + 3 x d x

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\frac{\partial}{\partial x} (x^{2} y e^{y})

y^{''}-y^'+484y=22sin(22t)

y^{^{''}} - y^{^{'}} + 484 y = 22 sin (22 t)

integral of tan(x)cos(x)

\int tan (x) cos (x) d x

derivative of (8-x^3)

\frac{d}{d x} ((8 - x)^{3})