derivative of-4+e^{1/(2-x})

Lösung

\frac{d}{d x} (- 4 + e^{\frac{1}{2 - x}})

\frac{e ^{\frac{1}{- x + 2}}}{( - x + 2 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (- 4 + e^{\frac{1}{2 - x}})

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (4) + \frac{d}{d x} (e^{\frac{1}{2 - x}})

\frac{d}{d x} (4) = 0

\frac{d}{d x} (e^{\frac{1}{2 - x}}) = \frac{e ^{\frac{1}{2 - x}}}{( 2 - x ) ^{2}}

= - 0 + \frac{e ^{\frac{1}{2 - x}}}{( 2 - x ) ^{2}}

Vereinfache

= \frac{e ^{\frac{1}{- x + 2}}}{( - x + 2 ) ^{2}}

d er i v a t i v e \frac{8}{3 x ^{4}}

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