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Beliebt Rechnen >

derivative f(x)=x^2-6x-7

Lösung

ableitung von

f (x) = x^{2} - 6 x - 7

Lösung

2 x - 6

Schritte zur Lösung

\frac{d}{d x} (x^{2} - 6 x - 7)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{2}) - \frac{d}{d x} (6 x) - \frac{d}{d x} (7)

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

\frac{d}{d x} (6 x) = 6

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

= 2 x - 6 - 0

Vereinfache

= 2 x - 6

Graph

Beliebte Beispiele

xy^2y^'=y^3-5x^3

x y^{2} y^{^{'}} = y^{3} - 5 x^{3}

d/(dθ)(tan^2(θ))

\frac{d}{d θ} (tan^{2} (θ))

y^{''}+11y^'+24y=0,y(0)=0,y^'(0)=-7

y^{^{''}} + 11 y^{^{'}} + 24 y = 0, y (0) = 0, y^{^{'}} (0) = - 7

limit as x approaches 0 of ((9^x-3^x))/x

x \to 0 lim (\frac{( 9 ^{x} - 3 ^{x} )}{x})

integral of x*ln^3(x)

\int x \cdot ln^{3} (x) d x