derivative of sqrt(x)-\sqrt[3]{x}

Lösung

\frac{d}{d x} (x - 3 x)

\frac{1}{2 x} - \frac{1}{3 x ^{\frac{2}{3}}}

Schritte zur Lösung

\frac{d}{d x} (x - 3 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x) - \frac{d}{d x} (3 x)

\frac{d}{d x} (x) = \frac{1}{2 x}

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

= \frac{1}{2 x} - \frac{1}{3 x ^{\frac{2}{3}}}

\frac{\partial}{\partial x} (4 x e^{4 x y})

\frac{d}{d x} (x^{2} y + x y^{2})

\int_{1}^{2} 2 (1 - \frac{1}{x ^{2}}) d x

d er i v a t i v e f (x) = \frac{x}{x ^{2} + 7}

\frac{d}{d x} (\frac{3}{4 ( 1 - x ) ^{\frac{5}{2}}})