Whakaoti i te 30x^4y^3/-6x^7y

$$\frac { 30 x ^ { 4 } y ^ { 3 } } { - 6 x ^ { 7 } y }$$

Aromātai

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

Ngā Upane e Whakamahi ana i te Āhuatanga o te Otinga o ngā Pū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{30^{1}x^{4}y^{3}}{\left(-6\right)^{1}x^{7}y^{1}}$$

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

$$\frac{30^{1}}{\left(-6\right)^{1}}x^{4-7}y^{3-1}$$

Tango 7 mai i 4.

$$\frac{30^{1}}{\left(-6\right)^{1}}x^{-3}y^{3-1}$$

Tango 1 mai i 3.

$$\frac{30^{1}}{\left(-6\right)^{1}}\times \frac{1}{x^{3}}y^{2}$$

Whakawehe 30 ki te -6.

$$-5\times \frac{1}{x^{3}}y^{2}$$

Kimi Pārōnaki e ai ki x

$$\frac{15y^{2}}{x^{4}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{30y^{3}}{-6y}x^{4-7})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-5y^{2}\right)x^{-3})$$

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}.

$$-3\left(-5y^{2}\right)x^{-3-1}$$

Mahia ngā tātaitanga.

$$15y^{2}x^{-4}$$