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Beliebt Rechnen >

derivative e^x-x^7

Lösung

ableitung von

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

fläche 2sin(10x),tan(10x),[-0.1,0.1]

a re a 2 sin (10 x), tan (10 x), [- 0.1, 0.1]

(\partial)/(\partial x)(1/t e^{(x^2)/(4t)})

\frac{\partial}{\partial x} (\frac{1}{t} e^{\frac{x ^{2}}{4 t}})

derivative of x^2(x+1^3)

\frac{d}{d x} (x^{2} (x + 1)^{3})

integral of 3^{3x}

\int 3^{3 x} d x

integral of sec(7x)

\int sec (7 x) d x