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Beliebt Rechnen >

derivative \sqrt[5]{7x}

Lösung

ableitung von

5 7 x

Lösung

\frac{7 ^{\frac{1}{5}}}{5 x ^{\frac{4}{5}}}

Schritte zur Lösung

\frac{d}{d x} (5 7 x)

Wende die Kettenregel an:

\frac{1}{5 ( 7 x ) ^{\frac{4}{5}}} \frac{d}{d x} (7 x)

= \frac{1}{5 ( 7 x ) ^{\frac{4}{5}}} \frac{d}{d x} (7 x)

\frac{d}{d x} (7 x) = 7

= \frac{1}{5 ( 7 x ) ^{\frac{4}{5}}} \cdot 7

Vereinfache

\frac{1}{5 ( 7 x ) ^{\frac{4}{5}}} \cdot 7 : \frac{7 ^{\frac{1}{5}}}{5 x ^{\frac{4}{5}}}

= \frac{7 ^{\frac{1}{5}}}{5 x ^{\frac{4}{5}}}

Graph

Beliebte Beispiele

taylor tan(x),0,1,2,3, pi/4

t a y l or tan (x), 0, 1, 2, 3, \frac{π}{4}

fläche y=7x,y=6x^2

a re a y = 7 x, y = 6 x^{2}

fläche x=0,y=2,y=sqrt(x)

a re a x = 0, y = 2, y = x

(sin(t)-tcos(t))^'

(sin (t) - t cos (t))^{^{'}}

derivative of (4x/(x+5))

\frac{d}{d x} (\frac{4 x}{x + 5})