Whakaoti i te 3/7x^{3}y^{8}z^8:(-1/4x^5y^6z^6)

$$\frac { 3 } { 7 } x ^ { 3 } y ^ { 8 } z ^ { 8 } : ( - \frac { 1 } { 4 } x ^ { 5 } y ^ { 6 } z ^ { 6 } )$$

Kimi Pārōnaki e ai ki x

$$\frac{24\left(yz\right)^{2}}{7x^{3}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3y^{8}z^{8}}{7\left(-\frac{y^{6}z^{6}}{4}\right)}x^{3-5})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-\frac{12y^{2}z^{2}}{7}\right)x^{-2})$$

Ko te pārōnaki o tētahi pūrau ko te tapeke o ngā pārōnaki o ōna kīanga tau. Ko te pārōnaki o tētahi kīanga tau pūmau ko 0. Ko te pārōnaki o te ax^{n} ko te nax^{n-1}.

$$-2\left(-\frac{12y^{2}z^{2}}{7}\right)x^{-2-1}$$

Mahia ngā tātaitanga.

$$\frac{24y^{2}z^{2}}{7}x^{-3}$$

Aromātai

$$-\frac{12\times \left(\frac{yz}{x}\right)^{2}}{7}$$

Ngā Upane Otinga

Me whakakore tahi te x^{3}y^{6}z^{6} i te taurunga me te tauraro.

$$\frac{\frac{3}{7}y^{2}z^{2}}{-\frac{1}{4}x^{2}}$$