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Beliebt Rechnen >

derivative of (5x^6+4x^3^4)

Lösung

\frac{d}{d x} ((5 x^{6} + 4 x^{3})^{4})

Lösung

4 (5 x^{6} + 4 x^{3})^{3} (30 x^{5} + 12 x^{2})

Schritte zur Lösung

\frac{d}{d x} ((5 x^{6} + 4 x^{3})^{4})

Wende die Kettenregel an:

4 (5 x^{6} + 4 x^{3})^{3} \frac{d}{d x} (5 x^{6} + 4 x^{3})

= 4 (5 x^{6} + 4 x^{3})^{3} \frac{d}{d x} (5 x^{6} + 4 x^{3})

\frac{d}{d x} (5 x^{6} + 4 x^{3}) = 30 x^{5} + 12 x^{2}

= 4 (5 x^{6} + 4 x^{3})^{3} (30 x^{5} + 12 x^{2})

Graph

Beliebte Beispiele

derivative of ln(9-x^2)

\frac{d}{d x} (ln (9 - x^{2}))

tangent f(x)=(9x^9-9)(8-8x^8),\at x=0

t an g e n t f (x) = (9 x^{9} - 9) (8 - 8 x^{8}), at x = 0

integral of-1/(sin(x))

\int - \frac{1}{sin ( x )} d x

integral from 0 to 4 of xe^{-ax}

\int_{0}^{4} x e^{- a x} d x

t a y l or e^{8 x}