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Beliebt Rechnen >

derivative f(x)=2sqrt(x)-1

Lösung

ableitung von

f (x) = 2 x - 1

Lösung

\frac{1}{x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (1) = 0

= \frac{1}{x} - 0

Vereinfache

= \frac{1}{x}

Graph

Beliebte Beispiele

limit as x approaches infinity of e^{-x}-ln(x)

x \to \infty lim (e^{- x} - ln (x))

integral of (8x^2+x+73)/((x+1)(x^2+9))

\int \frac{8 x ^{2} + x + 73}{( x + 1 ) ( x ^{2} + 9 )} d x

derivative 7(x^3-x)^4

d er i v a t i v e 7 (x^{3} - x)^{4}

derivative of (3x-8/(x^2-1))

\frac{d}{d x} (\frac{3 x - 8}{x ^{2} - 1})

derivative y= 9/(x^{-6)}

d er i v a t i v e y = \frac{9}{x ^{- 6}}