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Beliebt Rechnen >

derivative of 4-(25/(6x^{1/6)})

Lösung

\frac{d}{d x} (4 - \frac{25}{6 x ^{\frac{1}{6}}})

Lösung

\frac{25}{36 x ^{\frac{7}{6}}}

Schritte zur Lösung

\frac{d}{d x} (4 - \frac{25}{6 x ^{\frac{1}{6}}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4) - \frac{d}{d x} (\frac{25}{6 x ^{\frac{1}{6}}})

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

\frac{d}{d x} (\frac{25}{6 x ^{\frac{1}{6}}}) = - \frac{25}{36 x ^{\frac{7}{6}}}

= 0 - (- \frac{25}{36 x ^{\frac{7}{6}}})

Vereinfache

= \frac{25}{36 x ^{\frac{7}{6}}}

Graph

Beliebte Beispiele

derivative of ln(3x^2+7)

\frac{d}{d x} (ln (3 x^{2} + 7))

y^{''}+81y=4tan(9x)

y^{^{''}} + 81 y = 4 tan (9 x)

limit as x approaches 4 of x/4+1

x \to 4 lim (\frac{x}{4} + 1)

integral of 4pix^2

\int 4 π x^{2} d x

integral of 1/3 sec^2(8x)

\int \frac{1}{3} sec^{2} (8 x) d x