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Beliebt Rechnen >

derivative f(x)=(9x^6+8x^3)^4

Lösung

ableitung von

f (x) = (9 x^{6} + 8 x^{3})^{4}

Lösung

4 (9 x^{6} + 8 x^{3})^{3} (54 x^{5} + 24 x^{2})

Schritte zur Lösung

\frac{d}{d x} ((9 x^{6} + 8 x^{3})^{4})

Wende die Kettenregel an:

4 (9 x^{6} + 8 x^{3})^{3} \frac{d}{d x} (9 x^{6} + 8 x^{3})

= 4 (9 x^{6} + 8 x^{3})^{3} \frac{d}{d x} (9 x^{6} + 8 x^{3})

\frac{d}{d x} (9 x^{6} + 8 x^{3}) = 54 x^{5} + 24 x^{2}

= 4 (9 x^{6} + 8 x^{3})^{3} (54 x^{5} + 24 x^{2})

Graph

Beliebte Beispiele

integral of 5x^2sqrt(x+9)

\int 5 x^{2} x + 9 d x

derivative f(x)=9x+4x^{-1}

d er i v a t i v e f (x) = 9 x + 4 x^{- 1}

fläche y=4x,y=6x^2

a re a y = 4 x, y = 6 x^{2}

y^{''}+2y^'+4y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 2 y^{^{'}} + 4 y = 0, y (0) = 1, y^{^{'}} (0) = 0

integral of tsin(t)

\int t sin (t) d t