Whakaoti i te a/a^297*a^138

$$\frac { a } { a ^ { 297 } \times a ^ { 138 } }$$

Aromātai

$$\frac{1}{a^{434}}$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 297 me te 138 kia riro ai te 435.

$$\frac{a}{a^{435}}$$

Tuhia anō te a^{435} hei aa^{434}. Me whakakore tahi te a i te taurunga me te tauraro.

$$\frac{1}{a^{434}}$$

Kimi Pārōnaki e ai ki a

$$-\frac{434}{a^{435}}$$

Ngā Upane e Whakamahi ana i te Ture Mekameka

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 297 me te 138 kia riro ai te 435.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a}{a^{435}})$$

Tuhia anō te a^{435} hei aa^{434}. Me whakakore tahi te a i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{1}{a^{434}})$$

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).

$$-\left(a^{434}\right)^{-1-1}\frac{\mathrm{d}}{\mathrm{d}a}(a^{434})$$

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}.

$$-\left(a^{434}\right)^{-2}\times 434a^{434-1}$$

Whakarūnātia.

$$-434a^{433}\left(a^{434}\right)^{-2}$$