Whakaoti i te x^3y^5/3x*y^4/x^2

$$\frac{x^3y^5}{3x} \times \frac{y^4}{x^2}$$

Aromātai

$$\frac{y^{9}}{3}$$

Ngā Upane Otinga

Me whakakore tahi te x i te taurunga me te tauraro.

$$\frac{x^{2}y^{5}}{3}\times \frac{y^{4}}{x^{2}}$$

Me whakarea te \frac{x^{2}y^{5}}{3} ki te \frac{y^{4}}{x^{2}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{x^{2}y^{5}y^{4}}{3x^{2}}$$

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

$$\frac{y^{4}y^{5}}{3}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 4 me te 5 kia riro ai te 9.

$$\frac{y^{9}}{3}$$

Kimi Pārōnaki e ai ki y

$$3y^{8}$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Me whakakore tahi te x i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{x^{2}y^{5}}{3}\times \frac{y^{4}}{x^{2}})$$

Me whakarea te \frac{x^{2}y^{5}}{3} ki te \frac{y^{4}}{x^{2}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{x^{2}y^{5}y^{4}}{3x^{2}})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{y^{4}y^{5}}{3})$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 4 me te 5 kia riro ai te 9.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{y^{9}}{3})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$9\times \frac{1}{3}y^{9-1}$$

Whakareatia 9 ki te \frac{1}{3}.

$$3y^{9-1}$$

Tango 1 mai i 9.

$$3y^{8}$$