Whakaoti i te g^-1*g^8/g^-57*g^81

$$\frac { g ^ { - 1 } \cdot g ^ { 8 } } { g ^ { - 57 } \cdot g ^ { 81 } }$$

Aromātai

$$\frac{1}{g^{17}}$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -1 me te 8 kia riro ai te 7.

$$\frac{g^{7}}{g^{-57}g^{81}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -57 me te 81 kia riro ai te 24.

$$\frac{g^{7}}{g^{24}}$$

Tuhia anō te g^{24} hei g^{7}g^{17}. Me whakakore tahi te g^{7} i te taurunga me te tauraro.

$$\frac{1}{g^{17}}$$

Kimi Pārōnaki e ai ki g

$$-\frac{17}{g^{18}}$$

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 -1 me te 8 kia riro ai te 7.

$$\frac{\mathrm{d}}{\mathrm{d}g}(\frac{g^{7}}{g^{-57}g^{81}})$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -57 me te 81 kia riro ai te 24.

$$\frac{\mathrm{d}}{\mathrm{d}g}(\frac{g^{7}}{g^{24}})$$

Tuhia anō te g^{24} hei g^{7}g^{17}. Me whakakore tahi te g^{7} i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}g}(\frac{1}{g^{17}})$$

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).

$$-\left(g^{17}\right)^{-1-1}\frac{\mathrm{d}}{\mathrm{d}g}(g^{17})$$

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}.

$$-\left(g^{17}\right)^{-2}\times 17g^{17-1}$$

Whakarūnātia.

$$-17g^{16}\left(g^{17}\right)^{-2}$$