Whakaoti i te 5x^0/20x^4

$$\frac { 5 x ^ { 0 } } { 20 x ^ { 4 } }$$

Aromātai

$$\frac{1}{4x^{4}}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(5x^{0}\right)^{1}\times \frac{1}{20x^{4}}$$

Hei hiki i te hua o ngā tau e rua, neke atu rānei ki tētahi pū, hīkina ia tau ki te pū ka tuhi ko tāna hua.

$$5^{1}\left(x^{0}\right)^{1}\times \frac{1}{20}\times \frac{1}{x^{4}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$5^{1}\times \frac{1}{20}\left(x^{0}\right)^{1}\times \frac{1}{x^{4}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū.

$$5^{1}\times \frac{1}{20}x^{0}x^{4\left(-1\right)}$$

Whakareatia 4 ki te -1.

$$5^{1}\times \frac{1}{20}x^{0}x^{-4}$$

Hei whakarea pū o te pūtake ōrite, tāpiri ana taupū.

$$5^{1}\times \frac{1}{20}x^{-4}$$

Hīkina te 5 ki te pū 1.

$$5\times \frac{1}{20}x^{-4}$$

Whakareatia 5 ki te \frac{1}{20}.

$$\frac{1}{4}x^{-4}$$

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{5^{1}x^{0}}{20^{1}x^{4}}$$

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

$$\frac{5^{1}x^{-4}}{20^{1}}$$

Whakahekea te hautanga \frac{5}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{1}{4}x^{-4}$$

Kimi Pārōnaki e ai ki x

$$-\frac{1}{x^{5}}$$

Ngā Upane e Whakamahi ana i te Ture Mekameka

Me whakakore tahi te 5 i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{0}}{4x^{4}})$$

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

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

Mēnā ko F te hanganga o ngā pānga e rua e taea ana te pārōnaki f\left(u\right) me u=g\left(x\right), arā, mēnā ko F\left(x\right)=f\left(g\left(x\right)\right), ko te pārōnaki o F te pārōnaki o f e ai ki u whakareatia te pārōnaki o g e ai ki x, arā, \frac{\mathrm{d}}{\mathrm{d}x}(F)\left(x\right)=\frac{\mathrm{d}}{\mathrm{d}x}(f)\left(g\left(x\right)\right)\frac{\mathrm{d}}{\mathrm{d}x}(g)\left(x\right).

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

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}.

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

Whakarūnātia.

$$-16x^{3}\times \left(4x^{4}\right)^{-2}$$