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Beliebt Rechnen >

derivative 4x^{5/4}+10x^{3/2}+8x

Lösung

ableitung von

4 x^{\frac{5}{4}} + 10 x^{\frac{3}{2}} + 8 x

Lösung

5 x^{\frac{1}{4}} + 15 x^{\frac{1}{2}} + 8

Schritte zur Lösung

\frac{d}{d x} (4 x^{\frac{5}{4}} + 10 x^{\frac{3}{2}} + 8 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x^{\frac{5}{4}}) + \frac{d}{d x} (10 x^{\frac{3}{2}}) + \frac{d}{d x} (8 x)

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

\frac{d}{d x} (10 x^{\frac{3}{2}}) = 15 x^{\frac{1}{2}}

\frac{d}{d x} (8 x) = 8

= 5 x^{\frac{1}{4}} + 15 x^{\frac{1}{2}} + 8

Graph

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