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Beliebt Rechnen >

derivative-x+7x^2-15x

Lösung

ableitung von

- x + 7 x^{2} - 15 x

Lösung

14 x - 16

Schritte zur Lösung

\frac{d}{d x} (- x + 7 x^{2} - 15 x)

Vereinfache

- x + 7 x^{2} - 15 x : 7 x^{2} - 16 x

= \frac{d}{d x} (7 x^{2} - 16 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (7 x^{2}) - \frac{d}{d x} (16 x)

\frac{d}{d x} (7 x^{2}) = 14 x

\frac{d}{d x} (16 x) = 16

= 14 x - 16

Graph

Beliebte Beispiele

y^'=7y^2+xy^2,y(0)=1

y^{^{'}} = 7 y^{2} + x y^{2}, y (0) = 1

integral of (x^2-6x+9)/(sqrt(x^2-6x+18))

\int \frac{x ^{2} - 6 x + 9}{x ^{2} - 6 x + 18} d x

integral of 1/(x^3+27)

\int \frac{1}{x ^{3} + 27} d x

limit as x approaches 0 of (x-4)/(x-4)

x \to 0 lim (\frac{x - 4}{x - 4})

integral of arccosh(x)

\int arccosh (x) d x