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Beliebt Rechnen >

d/(dt)(5t^{-3/5})

Lösung

\frac{d}{d t} (5 t^{- \frac{3}{5}})

Lösung

- \frac{3}{t ^{\frac{8}{5}}}

Schritte zur Lösung

\frac{d}{d t} (5 t^{- \frac{3}{5}})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 5 \frac{d}{d t} (t^{- \frac{3}{5}})

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 5 (- \frac{3}{5} t^{- \frac{3}{5} - 1})

Vereinfache

5 (- \frac{3}{5} t^{- \frac{3}{5} - 1}) : - \frac{3}{t ^{\frac{8}{5}}}

= - \frac{3}{t ^{\frac{8}{5}}}

Graph

Beliebte Beispiele

integral of 1/(x+sqrt(x))

\int \frac{1}{x + x} d x

integral of ((x^2))/(1+x^3)

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

limit as x approaches-1 of 3x^2-2x-1

x \to - 1 lim (3 x^{2} - 2 x - 1)

tangent f(x)=3-x^2+2x

t an g e n t f (x) = 3 - x^{2} + 2 x

tangent f(x)=8x^2+4x-6,\at x=-3

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