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Beliebt Rechnen >

derivative of x^2+3*sqrt(x)

Lösung

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

Lösung

2 x + \frac{3}{2 x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (x^{2}) = 2 x

\frac{d}{d x} (3 x) = \frac{3}{2 x}

= 2 x + \frac{3}{2 x}

Graph

Beliebte Beispiele

(x^{2} + 4) y^{^{'}} = x y

integral of x^3sqrt(x+2)

\int x^{3} x + 2 d x

integral of xe^{x^{2-1}}

\int x e^{x^{2 - 1}} d x

sqrt(1-7x^2)(dy)/(dx)=x

1 - 7 x^{2} \frac{d y}{d x} = x

(2xy^4-2xy)dx-(3+3x^2)dy=0

(2 x y^{4} - 2 x y) d x - (3 + 3 x^{2}) d y = 0