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Beliebt Rechnen >

derivative of 5x^2cos(x-4x)

Lösung

\frac{d}{d x} (5 x^{2} cos (x) - 4 x)

Lösung

5 (2 x cos (x) - x^{2} sin (x)) - 4

Schritte zur Lösung

\frac{d}{d x} (5 x^{2} cos (x) - 4 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (5 x^{2} cos (x)) - \frac{d}{d x} (4 x)

\frac{d}{d x} (5 x^{2} cos (x)) = 5 (2 x cos (x) - x^{2} sin (x))

\frac{d}{d x} (4 x) = 4

= 5 (2 x cos (x) - x^{2} sin (x)) - 4

Graph

Beliebte Beispiele

fläche y= 4/(1+x^2),y=1

a re a y = \frac{4}{1 + x ^{2}}, y = 1

\frac{d}{d t} (t^{2} - 2 t)

x^'=0.1078*(1-x/(105900))x-0.1*x

x^{^{'}} = 0.1078 \cdot (1 - \frac{x}{105900}) x - 0.1 \cdot x

steigung (2.6)(5.15)

s l o p e (2.6) (5.15)

limit as x approaches 0 of arccos(x^2)

x \to 0 lim (arccos (x^{2}))