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Beliebt Rechnen >

derivative f(x)=(x+sqrt(2x))

Lösung

ableitung von

f (x) = (x + 2 x)

Lösung

1 + \frac{1}{2 x}

Schritte zur Lösung

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

Vereinfache

(x + 2 x) : x + 2 x

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 1 + \frac{1}{2 x}

Graph

Beliebte Beispiele

integral of (x^2+3x)cos(x)

\int (x^{2} + 3 x) cos (x) d x

derivative of x^{-3}+1/(x^7)

\frac{d}{d x} (x^{- 3} + \frac{1}{x ^{7}})

integral of (x+1)/(sqrt(2x-x^2))

\int \frac{x + 1}{2 x - x ^{2}} d x

derivative of (-x^2/(y^2))

\frac{d}{d x} (\frac{- x ^{2}}{y ^{2}})

derivative f(x)=(x^2)/2*cos^3(1/x)

d er i v a t i v e f (x) = \frac{x ^{2}}{2} \cdot cos^{3} (\frac{1}{x})