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Beliebt Rechnen >

derivative g(t)=tsqrt(t)\sqrt[3]{t}

Lösung

ableitung von

g (t) = t t 3 t

Lösung

\frac{11 t ^{\frac{5}{6}}}{6}

Schritte zur Lösung

\frac{d}{d t} (t t 3 t)

Vereinfache

t t 3 t : t^{\frac{11}{6}}

= \frac{d}{d t} (t^{\frac{11}{6}})

Wende die Potenzregel an:

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

= \frac{11}{6} t^{\frac{11}{6} - 1}

Vereinfache

\frac{11}{6} t^{\frac{11}{6} - 1} : \frac{11 t ^{\frac{5}{6}}}{6}

= \frac{11 t ^{\frac{5}{6}}}{6}

Graph

Beliebte Beispiele

integral of (sqrt(x^2-9))/(x^2)

\int \frac{x ^{2} - 9}{x ^{2}} d x

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y^{^{''}} - (\frac{6}{x}) y^{^{'}} - (\frac{4}{x ^{2}}) y = 0

d/(da)((pi(9a^2+6a+1))/(36a))

\frac{d}{d a} (\frac{π ( 9 a ^{2} + 6 a + 1 )}{36 a})

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\frac{d}{d x} (π sin (π x))