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Beliebt Rechnen >

derivative of 5x^2+3x-2

Lösung

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

Lösung

10 x + 3

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (5 x^{2}) = 10 x

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

\frac{d}{d x} (2) = 0

= 10 x + 3 - 0

Vereinfache

= 10 x + 3

Graph

Beliebte Beispiele

steigung (-8,-14),(61,-32)

s l o p e (- 8, - 14), (61, - 32)

-(dy)/(dx)=4x^3y

- \frac{d y}{d x} = 4 x^{3} y

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h \to 0 lim (\frac{1}{2 ^{h}})

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\frac{d}{d a} (\frac{a}{a ^{2} + b ^{2}})

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\frac{d}{d x} (sin (arctan (x)))