Whakaoti i te frac{y^frac{2{5}}(y^3)^frac{1{2}}}{y^frac{1{10}}}

$$\frac { y ^ { \frac { 2 } { 5 } } ( y ^ { 3 } ) ^ { \frac { 1 } { 2 } } } { y ^ { \frac { 1 } { 10 } } }$$

Kimi Pārōnaki e ai ki y

$$\frac{9y^{\frac{4}{5}}}{5}$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te \frac{1}{2} kia riro ai te \frac{3}{2}.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{y^{\frac{2}{5}}y^{\frac{3}{2}}}{y^{\frac{1}{10}}})$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te \frac{2}{5} me te \frac{3}{2} kia riro ai te \frac{19}{10}.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{y^{\frac{19}{10}}}{y^{\frac{1}{10}}})$$

Hei whakawehe ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga. Me tango te \frac{1}{10} i te \frac{19}{10} kia riro ai te \frac{9}{5}.

$$\frac{\mathrm{d}}{\mathrm{d}y}(y^{\frac{9}{5}})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$\frac{9}{5}y^{\frac{9}{5}-1}$$

Tango 1 mai i \frac{9}{5}.

$$\frac{9}{5}y^{\frac{4}{5}}$$

Aromātai

$$y^{\frac{9}{5}}$$