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Beliebt Rechnen >

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

Lösung

ableitung von

(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

y^{^{'}} + 7 y = 1

integral of 1/(r^3)

\int \frac{1}{r ^{3}} d r

integral of e^x(x+a+1)

\int e^{x} (x + a + 1) d x

integral of 6x^2sin(3x)

\int 6 x^{2} sin (3 x) d x

sum from n=1 to infinity of 2-7/(8^n)

n = 1 \sum \infty 2 - \frac{7}{8 ^{n}}