Whakaoti i te 27v^2w/18v^3w

$$\frac { 27 v ^ { 2 } w } { 18 v ^ { 3 } w }$$

Aromātai

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

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

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{27^{1}v^{2}w^{1}}{18^{1}v^{3}w^{1}}$$

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

$$\frac{27^{1}}{18^{1}}v^{2-3}w^{1-1}$$

Tango 3 mai i 2.

$$\frac{27^{1}}{18^{1}}\times \frac{1}{v}w^{1-1}$$

Tango 1 mai i 1.

$$\frac{27^{1}}{18^{1}}\times \frac{1}{v}w^{0}$$

Mō tētahi tau a mahue te 0, a^{0}=1.

$$\frac{27^{1}}{18^{1}}\times \frac{1}{v}$$

Whakahekea te hautanga \frac{27}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 9.

$$\frac{3}{2}\times \frac{1}{v}$$

Kimi Pārōnaki e ai ki v

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

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.

$$\frac{\mathrm{d}}{\mathrm{d}v}(\frac{27w}{18w}v^{2-3})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}v}(\frac{3}{2}\times \frac{1}{v})$$

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}.

$$-\frac{3}{2}v^{-1-1}$$

Mahia ngā tātaitanga.

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