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Beliebt Rechnen >

derivative f(x)=5x^2-3x+7

Lösung

ableitung von

f (x) = 5 x^{2} - 3 x + 7

Lösung

10 x - 3

Schritte zur Lösung

\frac{d}{d x} (5 x^{2} - 3 x + 7)

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} (7)

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

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

\frac{d}{d x} (7) = 0

= 10 x - 3 + 0

Vereinfache

= 10 x - 3

Graph

Beliebte Beispiele

derivative e^{-5x^2}

d er i v a t i v e e^{- 5 x^{2}}

limit as x approaches-4 of 15

x \to - 4 lim (15)

sum from n=1 to infinity of (1/2)^2

n = 1 \sum \infty (\frac{1}{2})^{2}

x^{''}-2x^'+x=24t^2e^t

x^{^{''}} - 2 x^{^{'}} + x = 24 t^{2} e^{t}

f (x) = x^{8 x}