derivative of 6/((x+5^2)-3)

Lösung

\frac{d}{d x} (\frac{6}{( x + 5 ) ^{2}} - 3)

- \frac{12}{( x + 5 ) ^{3}}

Schritte zur Lösung

\frac{d}{d x} (\frac{6}{( x + 5 ) ^{2}} - 3)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{6}{( x + 5 ) ^{2}}) - \frac{d}{d x} (3)

\frac{d}{d x} (\frac{6}{( x + 5 ) ^{2}}) = - \frac{12}{( x + 5 ) ^{3}}

\frac{d}{d x} (3) = 0

= - \frac{12}{( x + 5 ) ^{3}} - 0

Vereinfache

= - \frac{12}{( x + 5 ) ^{3}}

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