Whakaoti i te 5x^5y^4/35xy^2

$$\frac { 5 x ^ { 5 } y ^ { 4 } } { 35 x y ^ { 2 } }$$

Aromātai

$$\frac{y^{2}x^{4}}{7}$$

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

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{5^{1}x^{5}y^{4}}{35^{1}x^{1}y^{2}}$$

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

$$\frac{5^{1}}{35^{1}}x^{5-1}y^{4-2}$$

Tango 1 mai i 5.

$$\frac{5^{1}}{35^{1}}x^{4}y^{4-2}$$

Tango 2 mai i 4.

$$\frac{5^{1}}{35^{1}}x^{4}y^{2}$$

Whakahekea te hautanga \frac{5}{35} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

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

Kimi Pārōnaki e ai ki x

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

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5y^{4}}{35y^{2}}x^{5-1})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{y^{2}}{7}x^{4})$$

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}.

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

Mahia ngā tātaitanga.

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