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Beliebt Rechnen >

derivative f(x)=4x^2cos(x)-9x

Lösung

ableitung von

f (x) = 4 x^{2} cos (x) - 9 x

Lösung

4 (2 x cos (x) - x^{2} sin (x)) - 9

Schritte zur Lösung

\frac{d}{d x} (4 x^{2} cos (x) - 9 x)

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (4 x^{2} cos (x)) - \frac{d}{d x} (9 x)

\frac{d}{d x} (4 x^{2} cos (x)) = 4 (2 x cos (x) - x^{2} sin (x))

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

= 4 (2 x cos (x) - x^{2} sin (x)) - 9

Graph

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