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Beliebt Rechnen >

derivative f(x)=5x^2cos(x)-4x

Lösung

ableitung von

f (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

derivative y=arccos(2x+3)

d er i v a t i v e y = arccos (2 x + 3)

inverselaplace 1/((s+1)(s-1)^2)

in v erse l a pl a ce \frac{1}{( s + 1 ) ( s - 1 ) ^{2}}

x y^{^{'}} - y = x^{2} + x - 2

derivative y=6sqrt(8x^2+7)

d er i v a t i v e y = 6 8 x^{2} + 7

steigung y=xsqrt(x)

s l o p e y = x x