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Beliebt Rechnen >

derivative f(x)=e^x-x^7

Lösung

ableitung von

f (x) = e^{x} - x^{7}

Lösung

e^{x} - 7 x^{6}

Schritte zur Lösung

\frac{d}{d x} (e^{x} - x^{7})

Wende die Summen-/Differenzregel an:

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

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

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

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

= e^{x} - 7 x^{6}

Graph

Beliebte Beispiele

limit as x approaches 1 of (x^2-9)/(x-3)

x \to 1 lim (\frac{x ^{2} - 9}{x - 3})

fläche y^2=4x+4,y=4x-16

a re a y^{2} = 4 x + 4, y = 4 x - 16

limit as x approaches+0 of e^{4x+2}

x \to + 0 lim (e^{4 x + 2})

derivative of tan^n(x)

\frac{d}{d x} (tan^{n} (x))

integral of e^{-x^6}(-6x^5)

\int e^{- x^{6}} (- 6 x^{5}) d x