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Beliebt Rechnen >

derivative of (x^3+6x^4)

Lösung

\frac{d}{d x} ((x^{3} + 6 x)^{4})

Lösung

4 (x^{3} + 6 x)^{3} (3 x^{2} + 6)

Schritte zur Lösung

\frac{d}{d x} ((x^{3} + 6 x)^{4})

Wende die Kettenregel an:

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

= 4 (x^{3} + 6 x)^{3} \frac{d}{d x} (x^{3} + 6 x)

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

= 4 (x^{3} + 6 x)^{3} (3 x^{2} + 6)

Graph

Beliebte Beispiele

inverselaplace (2e^{-2s})/(3s^2+12)

in v erse l a pl a ce \frac{2 e ^{- 2 s}}{3 s ^{2} + 12}

3y^'+y=6t,y(0)=3

3 y^{^{'}} + y = 6 t, y (0) = 3

derivative of sqrt(6x+5)

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

\frac{d y}{d x} = 4 x^{3}

tangent f(x)=-5cos(x),\at x= pi/2

t an g e n t f (x) = - 5 cos (x), at x = \frac{π}{2}