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Beliebt Rechnen >

derivative (9-x^3)^5

Lösung

ableitung von

(9 - x^{3})^{5}

Lösung

- 15 x^{2} (9 - x^{3})^{4}

Schritte zur Lösung

\frac{d}{d x} ((9 - x^{3})^{5})

Wende die Kettenregel an:

5 (9 - x^{3})^{4} \frac{d}{d x} (9 - x^{3})

= 5 (9 - x^{3})^{4} \frac{d}{d x} (9 - x^{3})

\frac{d}{d x} (9 - x^{3}) = - 3 x^{2}

= 5 (9 - x^{3})^{4} (- 3 x^{2})

Vereinfache

= - 15 x^{2} (9 - x^{3})^{4}

Graph

Beliebte Beispiele

integral of 4/5-9/x

\int \frac{4}{5} - \frac{9}{x} d x

derivative f(2)=2x^3-1

d er i v a t i v e f (2) = 2 x^{3} - 1

derivative of 0.01x^3

\frac{d}{d x} (0.01 x^{3})

tangent sqrt(2x^2+x-7)

t an g e n t 2 x^{2} + x - 7

(\partial)/(\partial x)((6x)/(sqrt(x^2+2)))

\frac{\partial}{\partial x} (\frac{6 x}{x ^{2} + 2})