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Beliebt Rechnen >

derivative sqrt(r)+\sqrt[7]{r}

Lösung

ableitung von

r + 7 r

Lösung

\frac{1}{2 r} + \frac{1}{7 r ^{\frac{6}{7}}}

Schritte zur Lösung

\frac{d}{d r} (r + 7 r)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d r} (r) + \frac{d}{d r} (7 r)

\frac{d}{d r} (r) = \frac{1}{2 r}

\frac{d}{d r} (7 r) = \frac{1}{7 r ^{\frac{6}{7}}}

= \frac{1}{2 r} + \frac{1}{7 r ^{\frac{6}{7}}}

Graph

Beliebte Beispiele

limit as x approaches 2 of (2-x)/(2x^2-4)

x \to 2 lim (\frac{2 - x}{2 x ^{2} - 4})

fläche y=9x^2,y=x^2+6

a re a y = 9 x^{2}, y = x^{2} + 6

integral of cos^7(y)

\int cos^{7} (y) d y

derivative of-5cot(x)

\frac{d}{d x} (- 5 cot (x))

integral of y/((y+2)(3y-1))

\int \frac{y}{( y + 2 ) ( 3 y - 1 )} d y