Whakaoti i te 12v^5/32v

$$\frac { 12 v ^ { 5 } } { 32 v }$$

Aromātai

$$\frac{3v^{4}}{8}$$

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{12^{1}v^{5}}{32^{1}v^{1}}$$

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

$$\frac{12^{1}v^{5-1}}{32^{1}}$$

Tango 1 mai i 5.

$$\frac{12^{1}v^{4}}{32^{1}}$$

Whakahekea te hautanga \frac{12}{32} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{3}{8}v^{4}$$

Kimi Pārōnaki e ai ki v

$$\frac{3v^{3}}{2}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}v}(\frac{12}{32}v^{5-1})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}v}(\frac{3}{8}v^{4})$$

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}.

$$4\times \frac{3}{8}v^{4-1}$$

Mahia ngā tātaitanga.

$$\frac{3}{2}v^{3}$$