derivative (x^{3/2})/3-x^{1/2}

Lösung

ableitung von

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

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

\frac{d}{d x} (f (x) \cdot e^{\frac{1}{f ( x )}})

d er i v a t i v e 6 (x + 2)^{\frac{1}{2}}

\int_{0}^{6} x^{2} 36 - x^{2} d x

y = \frac{3 x ^{5} - 7 x ^{2} - 4}{x ^{2}}

\frac{d}{d x} (4^{e^{x}})