Réitigh {z}^frac{1{4}}{left(z/right)}^-frac{1{2}}

$${ z }^{ \frac{ 1 }{ 4 } } { \left( \frac{ z }{ } \right) }^{ - \frac{ 1 }{ 2 } }$$

Difreálaigh w.r.t. z

$$-\frac{1}{4z^{\frac{5}{4}}}$$

Céimeanna ag Baint Úsáid as Sainiú Díorthaigh

Tugann aon rud a roinntear ar a haon é féin.

$$\frac{\mathrm{d}}{\mathrm{d}z}(z^{\frac{1}{4}}z^{-\frac{1}{2}})$$

Chun cumhachtaí den bhonn céanna a iolrú, suimigh a n-easpónaint. Suimigh \frac{1}{4} agus -\frac{1}{2} chun -\frac{1}{4} a bhaint amach.

$$\frac{\mathrm{d}}{\mathrm{d}z}(z^{-\frac{1}{4}})$$

Is é díorthach ax^{n} ná nax^{n-1}.

$$-\frac{1}{4}z^{-\frac{1}{4}-1}$$

Dealaigh 1 ó -\frac{1}{4}.

$$-\frac{1}{4}z^{-\frac{5}{4}}$$

Luacháil

$$\frac{1}{\sqrt[4]{z}}$$