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

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

Aromātai

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

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te -3 kia riro ai te -1.

$$\frac{2x^{2}y^{2}}{4x^{-1}y^{4}\times 3}$$

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

$$\frac{x^{2}}{2\times 3\times \frac{1}{x}y^{2}}$$

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

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

Whakareatia te 2 ki te 3, ka 6.

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

Kimi Pārōnaki e ai ki x

$$\frac{\left(\frac{x}{y}\right)^{2}}{2}$$

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.

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

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{3}}{6y^{2}}x^{0})$$

Mō tētahi tau a mahue te 0, a^{0}=1.

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

Ko te pārōnaki o tētahi kupu taimau ko te 0.

$$0$$