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Beliebt Rechnen >

derivative of (3-e^x^8)

Lösung

\frac{d}{d x} ((3 - e^{x})^{8})

Lösung

- 8 e^{x} (3 - e^{x})^{7}

Schritte zur Lösung

\frac{d}{d x} ((3 - e^{x})^{8})

Wende die Kettenregel an:

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

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

\frac{d}{d x} (3 - e^{x}) = - e^{x}

= 8 (3 - e^{x})^{7} (- e^{x})

Vereinfache

= - 8 e^{x} (3 - e^{x})^{7}

Graph

Beliebte Beispiele

derivative of 180-(x^2/(45))

\frac{d}{d x} (180 - \frac{x ^{2}}{45})

derivative f(x)=8sqrt(1+\sqrt{x)}

d er i v a t i v e f (x) = 8 1 + x

derivative of 12x^2+6x-6

\frac{d}{d x} (12 x^{2} + 6 x - 6)

derivative of sqrt(1/(x^{27)})

\frac{d}{d x} (\frac{1}{x ^{27}})

fläche x=22y^2,x=5y^3

a re a x = 22 y^{2}, x = 5 y^{3}