erweitern x^{1/2 (x^{-3/2}+x^{-1/2})}

Lösung

erweitern

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

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

Schritte zur Lösung

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

Vereinfache

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

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

Multipliziere aus

\frac{1}{2} (\frac{1}{x ^{\frac{3}{2}}} + \frac{1}{x ^{\frac{1}{2}}}) : \frac{1}{2 x ^{\frac{3}{2}}} + \frac{1}{2 x ^{\frac{1}{2}}}

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

e x p an d \frac{( x - 1 ) ( x ^{2} + 1 )}{x ^{2} - 3}

e x p an d lo g_{10} (\frac{x y ^{2}}{2 m})

e x p an d \frac{d}{d y} ((x y^{2} - 1) e^{x}) - y^{2} e^{x}

e x p an d \frac{\partial}{\partial x} (x^{2}) + 2 y + λ (x - 2 y)

e x p an d (- e^{- x} x - e^{- x}) e^{x}