Whakaoti i te (4b)^1/2(8b^1/4)

$$( 4 b ) ^ { 1 / 2 } ( 8 b ^ { 1 / 4 } )$$

Aromātai

$$16b^{\frac{3}{4}}$$

Ngā Upane Otinga

Whakarohaina te \left(4b\right)^{\frac{1}{2}}.

$$4^{\frac{1}{2}}b^{\frac{1}{2}}\times 8b^{\frac{1}{4}}$$

Tātaihia te 4 mā te pū o \frac{1}{2}, kia riro ko 2.

$$2b^{\frac{1}{2}}\times 8b^{\frac{1}{4}}$$

Whakareatia te 2 ki te 8, ka 16.

$$16b^{\frac{1}{2}}b^{\frac{1}{4}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te \frac{1}{2} me te \frac{1}{4} kia riro ai te \frac{3}{4}.

$$16b^{\frac{3}{4}}$$

Kimi Pārōnaki e ai ki b

$$\frac{12}{\sqrt[4]{b}}$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Whakarohaina te \left(4b\right)^{\frac{1}{2}}.

$$\frac{\mathrm{d}}{\mathrm{d}b}(4^{\frac{1}{2}}b^{\frac{1}{2}}\times 8b^{\frac{1}{4}})$$

Tātaihia te 4 mā te pū o \frac{1}{2}, kia riro ko 2.

$$\frac{\mathrm{d}}{\mathrm{d}b}(2b^{\frac{1}{2}}\times 8b^{\frac{1}{4}})$$

Whakareatia te 2 ki te 8, ka 16.

$$\frac{\mathrm{d}}{\mathrm{d}b}(16b^{\frac{1}{2}}b^{\frac{1}{4}})$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te \frac{1}{2} me te \frac{1}{4} kia riro ai te \frac{3}{4}.

$$\frac{\mathrm{d}}{\mathrm{d}b}(16b^{\frac{3}{4}})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$\frac{3}{4}\times 16b^{\frac{3}{4}-1}$$

Whakareatia \frac{3}{4} ki te 16.

$$12b^{\frac{3}{4}-1}$$

Tango 1 mai i \frac{3}{4}.

$$12b^{-\frac{1}{4}}$$