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Beliebt Rechnen >

derivative of x^3+x^2-8x+7

Lösung

\frac{d}{d x} (x^{3} + x^{2} - 8 x + 7)

Lösung

3 x^{2} + 2 x - 8

Schritte zur Lösung

\frac{d}{d x} (x^{3} + x^{2} - 8 x + 7)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{3}) + \frac{d}{d x} (x^{2}) - \frac{d}{d x} (8 x) + \frac{d}{d x} (7)

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

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

\frac{d}{d x} (8 x) = 8

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

= 3 x^{2} + 2 x - 8 + 0

Vereinfache

= 3 x^{2} + 2 x - 8

Graph

Beliebte Beispiele

integral of 2^u

\int 2^{u} d u

y^{''}-y^'+289y=17sin(17t)

y^{^{''}} - y^{^{'}} + 289 y = 17 sin (17 t)

fläche x=y^4,x=y^5

a re a x = y^{4}, x = y^{5}

integral of-2x+6x^2-4x^3+18

\int - 2 x + 6 x^{2} - 4 x^{3} + 18 d x

integral of 2/(e^{-x)+1}

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