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Beliebt Rechnen >

derivative of 4-(15/(4x^{1/4)})

Lösung

\frac{d}{d x} (4 - \frac{15}{4 x ^{\frac{1}{4}}})

Lösung

\frac{15}{16 x ^{\frac{5}{4}}}

Schritte zur Lösung

\frac{d}{d x} (4 - \frac{15}{4 x ^{\frac{1}{4}}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4) - \frac{d}{d x} (\frac{15}{4 x ^{\frac{1}{4}}})

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

\frac{d}{d x} (\frac{15}{4 x ^{\frac{1}{4}}}) = - \frac{15}{16 x ^{\frac{5}{4}}}

= 0 - (- \frac{15}{16 x ^{\frac{5}{4}}})

Vereinfache

= \frac{15}{16 x ^{\frac{5}{4}}}

Graph

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