Whakaoti i te 32n^2/24n

$$\frac { 32 n ^ { 2 } } { 24 n }$$

Aromātai

$$\frac{4n}{3}$$

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{32^{1}n^{2}}{24^{1}n^{1}}$$

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

$$\frac{32^{1}n^{2-1}}{24^{1}}$$

Tango 1 mai i 2.

$$\frac{32^{1}n^{1}}{24^{1}}$$

Whakahekea te hautanga \frac{32}{24} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$\frac{4}{3}n^{1}$$

Mō tētahi kupu t, t^{1}=t.

$$\frac{4}{3}n$$

Kimi Pārōnaki e ai ki n

$$\frac{4}{3} = 1\frac{1}{3} = 1.3333333333333333$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}n}(\frac{32}{24}n^{2-1})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}n}(\frac{4}{3}n^{1})$$

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}.

$$\frac{4}{3}n^{1-1}$$

Mahia ngā tātaitanga.

$$\frac{4}{3}n^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$\frac{4}{3}\times 1$$

Mō tētahi kupu t, t\times 1=t me 1t=t.

$$\frac{4}{3}$$