Whakaoti i te (3x^5/6)(8x^2/3)=

$$( 3 x ^ { 5 / 6 } ) ( 8 x ^ { 2 / 3 } ) =$$

Aromātai

$$24x^{\frac{3}{2}}$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te \frac{5}{6} me te \frac{2}{3} kia riro ai te \frac{3}{2}.

$$3x^{\frac{3}{2}}\times 8$$

Whakareatia te 3 ki te 8, ka 24.

$$24x^{\frac{3}{2}}$$

Kimi Pārōnaki e ai ki x

$$36\sqrt{x}$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te \frac{5}{6} me te \frac{2}{3} kia riro ai te \frac{3}{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{\frac{3}{2}}\times 8)$$

Whakareatia te 3 ki te 8, ka 24.

$$\frac{\mathrm{d}}{\mathrm{d}x}(24x^{\frac{3}{2}})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$\frac{3}{2}\times 24x^{\frac{3}{2}-1}$$

Whakareatia \frac{3}{2} ki te 24.

$$36x^{\frac{3}{2}-1}$$

Tango 1 mai i \frac{3}{2}.

$$36\sqrt{x}$$