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Beliebt Rechnen >

derivative f(x)=(9-6x^2)^2

Lösung

ableitung von

f (x) = (9 - 6 x^{2})^{2}

Lösung

- 24 x (9 - 6 x^{2})

Schritte zur Lösung

\frac{d}{d x} ((9 - 6 x^{2})^{2})

Wende die Kettenregel an:

2 (9 - 6 x^{2}) \frac{d}{d x} (9 - 6 x^{2})

= 2 (9 - 6 x^{2}) \frac{d}{d x} (9 - 6 x^{2})

\frac{d}{d x} (9 - 6 x^{2}) = - 12 x

= 2 (9 - 6 x^{2}) (- 12 x)

Vereinfache

= - 24 x (9 - 6 x^{2})

Graph

Beliebte Beispiele

(2 x + y + 1) y^{^{'}} = 1

(sqrt(x^2-1))^'

(x^{2} - 1)^{^{'}}

derivative of f(x)=-9

\frac{d}{d x} f (x) = - 9

derivative of x/(3x^2+1)

\frac{d}{d x} (\frac{x}{3 x ^{2} + 1})

(cos^{4} (x))^{^{'}}