derivative of (2-6x^{0.5})

Lösung

\frac{d}{d x} ((2 - 6 x)^{0.5})

- \frac{3}{( 2 - 6 x ) ^{\frac{1}{2}}}

Schritte zur Lösung

\frac{d}{d x} ((2 - 6 x)^{0.5})

Wende die Kettenregel an:

\frac{0.5}{( 2 - 6 x ) ^{0.5}} \frac{d}{d x} (2 - 6 x)

= \frac{0.5}{( 2 - 6 x ) ^{0.5}} \frac{d}{d x} (2 - 6 x)

\frac{d}{d x} (2 - 6 x) = - 6

= \frac{0.5}{( 2 - 6 x ) ^{0.5}} (- 6)

Vereinfache

\frac{0.5}{( 2 - 6 x ) ^{\frac{1}{2}}} (- 6) : - \frac{3}{( 2 - 6 x ) ^{\frac{1}{2}}}

= - \frac{3}{( 2 - 6 x ) ^{\frac{1}{2}}}

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