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Beliebt Rechnen >

derivative of sqrt(x)-6x

Lösung

\frac{d}{d x} (x - 6 x)

Lösung

\frac{1}{2 x} - 6

Schritte zur Lösung

\frac{d}{d x} (x - 6 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x) - \frac{d}{d x} (6 x)

\frac{d}{d x} (x) = \frac{1}{2 x}

\frac{d}{d x} (6 x) = 6

= \frac{1}{2 x} - 6

Graph

Beliebte Beispiele

limit as x approaches 1 of x^3

x \to 1 lim (x^{3})

limit as x approaches+3 of 5/(x^2-9)

x \to + 3 lim (\frac{5}{x ^{2} - 9})

(dy)/(dt)=20-y/(230+16t)

\frac{d y}{d t} = 20 - \frac{y}{230 + 16 t}

(dy)/(dx)=e^x-6x^2

\frac{d y}{d x} = e^{x} - 6 x^{2}

tangent y=x^3+x

t an g e n t y = x^{3} + x