Whakaoti i te frac{2x^{3}y^3}{4x^3y^4*3x^3}

$$\frac { 2 x ^ { 3 } y ^ { 3 } } { 4 x ^ { 3 } y ^ { 4 } \cdot 3 x ^ { 3 } }$$

Aromātai

$$\frac{1}{6yx^{3}}$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 3 kia riro ai te 6.

$$\frac{2x^{3}y^{3}}{4x^{6}y^{4}\times 3}$$

Me whakakore tahi te 2x^{3}y^{3} i te taurunga me te tauraro.

$$\frac{1}{2\times 3yx^{3}}$$

Whakareatia te 2 ki te 3, ka 6.

$$\frac{1}{6yx^{3}}$$

Kimi Pārōnaki e ai ki x

$$-\frac{1}{2yx^{4}}$$

Ngā Upane Otinga

Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2y^{3}}{12x^{3}y^{4}}x^{3-3})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{6yx^{3}}x^{0})$$

Mō tētahi tau a mahue te 0, a^{0}=1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{6yx^{3}})$$

Ko te pārōnaki o tētahi kupu taimau ko te 0.

$$0$$