derivative \sqrt[3]{t^2}-5sqrt(t^3)

Lösung

ableitung von

3 t^{2} - 5 t^{3}

\frac{2 t}{3 ( t ^{2} ) ^{\frac{2}{3}}} - \frac{15 t}{2}

Schritte zur Lösung

\frac{d}{d t} (3 t^{2} - 5 t^{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (3 t^{2}) - \frac{d}{d t} (5 t^{3})

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

\frac{d}{d t} (5 t^{3}) = \frac{15 t}{2}

= \frac{2 t}{3 ( t ^{2} ) ^{\frac{2}{3}}} - \frac{15 t}{2}

\frac{d y}{d x} + 3 x y^{3} = 0, y (0) = 1

\int \frac{5 e ^{2 x} - e ^{x}}{e ^{2 x} - 1} d x

\frac{\partial}{\partial x} (9 x^{2} y^{2})

\int (x^{2} e^{2 x} - 3 x e^{2 x} + 5 e^{2 x}) d x

x \to 0 lim (3 sin (x) - 1)