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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{cos ( x )}{x} - 1

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= \frac{cos ( x )}{x} - 1

Graph

Beliebte Beispiele

steigung (-5/2 ,1),(-1/2 ,4)

s l o p e (- \frac{5}{2}, 1), (- \frac{1}{2}, 4)

integral of (5x)/2

\int \frac{5 x}{2} d x

integral of (32x)/(x^4-16)

\int \frac{32 x}{x ^{4} - 16} d x

(\partial)/(\partial x)(y^4cos(3x)*3)

\frac{\partial}{\partial x} (y^{4} cos (3 x) \cdot 3)

integral of (8x^3)/(x-5)

\int \frac{8 x ^{3}}{x - 5} d x