derivative f(x)=2x-5x^{3/4}

Lösung

ableitung von

f (x) = 2 x - 5 x^{\frac{3}{4}}

2 - \frac{15}{4 x ^{\frac{1}{4}}}

Schritte zur Lösung

\frac{d}{d x} (2 x - 5 x^{\frac{3}{4}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 x) - \frac{d}{d x} (5 x^{\frac{3}{4}})

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

\frac{d}{d x} (5 x^{\frac{3}{4}}) = \frac{15}{4 x ^{\frac{1}{4}}}

= 2 - \frac{15}{4 x ^{\frac{1}{4}}}

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