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Beliebt Rechnen >

derivative xcos(2x)

Lösung

ableitung von

x cos (2 x)

Lösung

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

Schritte zur Lösung

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

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = cos (2 x)

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

\frac{d x}{d x} = 1

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

= 1 \cdot cos (2 x) + (- sin (2 x) \cdot 2) x

Vereinfache

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

Graph

Beliebte Beispiele

integral from 0 to y of 2(x+y)

\int_{0}^{y} 2 (x + y) d x

tangent f(x)=-0.025x^2

t an g e n t f (x) = - 0.025 x^{2}

integral from 21 to infinity of xe^{-x}

\int_{21}^{\infty} x e^{- x} d x

integral from 1 to 2 of 1/x

\int_{1}^{2} \frac{1}{x} d x

(\partial)/(\partial x)(3xyz)

\frac{\partial}{\partial x} (3 x yz)