Whakaoti i te 2/3x:1/6x^3

$$\frac { 2 } { 3 } x : \frac { 1 } { 6 } x ^ { 3 }$$

Aromātai

$$4x^{4}$$

Ngā Upane Otinga

Whakawehe \frac{2}{3}x ki te \frac{1}{6} mā te whakarea \frac{2}{3}x ki te tau huripoki o \frac{1}{6}.

$$\frac{2}{3}x\times 6x^{3}$$

Whakareatia te \frac{2}{3} ki te 6, ka 4.

$$4xx^{3}$$

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

$$4x^{4}$$

Kimi Pārōnaki e ai ki x

$$16x^{3}$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Whakawehe \frac{2}{3}x ki te \frac{1}{6} mā te whakarea \frac{2}{3}x ki te tau huripoki o \frac{1}{6}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2}{3}x\times 6x^{3})$$

Whakareatia te \frac{2}{3} ki te 6, ka 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4xx^{3})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{4})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$4\times 4x^{4-1}$$

Whakareatia 4 ki te 4.

$$16x^{4-1}$$

Tango 1 mai i 4.

$$16x^{3}$$