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Beliebt Rechnen >

derivative of (5x^6+8x^3^4)

Lösung

\frac{d}{d x} ((5 x^{6} + 8 x^{3})^{4})

Lösung

4 (5 x^{6} + 8 x^{3})^{3} (30 x^{5} + 24 x^{2})

Schritte zur Lösung

\frac{d}{d x} ((5 x^{6} + 8 x^{3})^{4})

Wende die Kettenregel an:

4 (5 x^{6} + 8 x^{3})^{3} \frac{d}{d x} (5 x^{6} + 8 x^{3})

= 4 (5 x^{6} + 8 x^{3})^{3} \frac{d}{d x} (5 x^{6} + 8 x^{3})

\frac{d}{d x} (5 x^{6} + 8 x^{3}) = 30 x^{5} + 24 x^{2}

= 4 (5 x^{6} + 8 x^{3})^{3} (30 x^{5} + 24 x^{2})

Graph

Beliebte Beispiele

integral of csc(3x)cot(3x)

\int csc (3 x) cot (3 x) d x

integral of (3y^2)

\int (3 y^{2}) d y

tangent y=x+sqrt(x),(49,56)

t an g e n t y = x + x, (49, 56)

integral from 1 to 25 of 2/x

\int_{1}^{25} \frac{2}{x} d x

limit as x approaches+0 of (x^2)/(1-cos(x))

x \to + 0 lim (\frac{x ^{2}}{1 - cos ( x )})