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Beliebt Rechnen >

derivative of-(x^2/2+5x+3)

Lösung

\frac{d}{d x} (- \frac{x ^{2}}{2} + 5 x + 3)

Lösung

- x + 5

Schritte zur Lösung

\frac{d}{d x} (- \frac{x ^{2}}{2} + 5 x + 3)

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (\frac{x ^{2}}{2}) + \frac{d}{d x} (5 x) + \frac{d}{d x} (3)

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

\frac{d}{d x} (5 x) = 5

\frac{d}{d x} (3) = 0

= - x + 5 + 0

Vereinfache

= - x + 5

Graph

Beliebte Beispiele

y^'=((x^2))/(y(1+x^3))

y^{^{'}} = \frac{( x ^{2} )}{y ( 1 + x ^{3} )}

integral from 0 to x of e^{-t}

\int_{0}^{x} e^{- t} d t

derivative of (x-x^3^x)

\frac{d}{d x} ((x - x^{3})^{x})

limit as x approaches-infinity of-e^{-x}

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

integral of 12sin^2(t)cos(t)

\int 12 sin^{2} (t) cos (t) d t