Whakaoti i te -20x^4y^3/5xy=

$$\frac { - 20 x ^ { 4 } y ^ { 3 } } { 5 x y } =$$

Aromātai

$$-4y^{2}x^{3}$$

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

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{\left(-20\right)^{1}x^{4}y^{3}}{5^{1}x^{1}y^{1}}$$

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

$$\frac{\left(-20\right)^{1}}{5^{1}}x^{4-1}y^{3-1}$$

Tango 1 mai i 4.

$$\frac{\left(-20\right)^{1}}{5^{1}}x^{3}y^{3-1}$$

Tango 1 mai i 3.

$$\frac{\left(-20\right)^{1}}{5^{1}}x^{3}y^{2}$$

Whakawehe -20 ki te 5.

$$-4x^{3}y^{2}$$

Kimi Pārōnaki e ai ki x

$$-12\left(xy\right)^{2}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-\frac{20y^{3}}{5y}\right)x^{4-1})$$

Mahia ngā tātaitanga.

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

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}.

$$3\left(-4y^{2}\right)x^{3-1}$$

Mahia ngā tātaitanga.

$$\left(-12y^{2}\right)x^{2}$$