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Beliebt Rechnen >

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

Lösung

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

Lösung

2 x sin (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Vereinfache

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

= 2 x sin (x)

Graph

Beliebte Beispiele

(\partial)/(\partial x)(ln(1+x^2))

\frac{\partial}{\partial x} (ln (1 + x^{2}))

tangent y=4x^2-3x+3,(1,4)

t an g e n t y = 4 x^{2} - 3 x + 3, (1, 4)

integral of x^3-3

\int x^{3} - 3 d x

d/(dθ)(e^{tan(θ)})

\frac{d}{d θ} (e^{t a n (θ)})

integral of (2xsqrt(x)-1/(sqrt(x)))

\int (2 x x - \frac{1}{x}) d x