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Beliebt Rechnen >

derivative y=\sqrt[3]{t}+4sqrt(t^3)

Lösung

ableitung von

y = 3 t + 4 t^{3}

Lösung

\frac{1}{3 t ^{\frac{2}{3}}} + 6 t

Schritte zur Lösung

\frac{d}{d t} (3 t + 4 t^{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (3 t) + \frac{d}{d t} (4 t^{3})

\frac{d}{d t} (3 t) = \frac{1}{3 t ^{\frac{2}{3}}}

\frac{d}{d t} (4 t^{3}) = 6 t

= \frac{1}{3 t ^{\frac{2}{3}}} + 6 t

Graph

Beliebte Beispiele

integral of x/((4x^2+3)^2)

\int \frac{x}{( 4 x ^{2} + 3 ) ^{2}} d x

integral of cos(2x)cos(4x)

\int cos (2 x) cos (4 x) d x

derivative of {f}(h,x*{g}(h,x)*h)

\frac{d}{d x} (f (h, x) \cdot g (h, x) \cdot h)

derivative of 1/(sqrt(5x))

\frac{d}{d x} (\frac{1}{5 x})

integral of (sin(x)sqrt(x))/(sqrt(x))

\int \frac{sin ( x ) x}{x} d x