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Beliebt Rechnen >

derivative of 2xcos(x-2sin(x))

Lösung

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

Lösung

- 2 x sin (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 (cos (x) - x sin (x)) - 2 cos (x)

Vereinfache

2 (cos (x) - x sin (x)) - 2 cos (x) : - 2 x sin (x)

= - 2 x sin (x)

Graph

Beliebte Beispiele

tangent x/(1+x^2),\at x=2

t an g e n t \frac{x}{1 + x ^{2}}, at x = 2

integral of 0.02e^x

\int 0.02 e^{x} d x

2xy^2+4=2(3-x^2y)y^',y(-1)=8

2 x y^{2} + 4 = 2 (3 - x^{2} y) y^{^{'}}, y (- 1) = 8

derivative of x^3+3x^2-144x

\frac{d}{d x} (x^{3} + 3 x^{2} - 144 x)

steigung (-1.4)(-4.2)

s l o p e (- 1.4) (- 4.2)