Whakaoti i te r^-5*r^-1/r^8*r^-5

$$\frac { r ^ { - 5 } \cdot r ^ { - 1 } } { r ^ { 8 } \cdot r ^ { - 5 } }$$

Aromātai

$$\frac{1}{r^{9}}$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -5 me te -1 kia riro ai te -6.

$$\frac{r^{-6}}{r^{8}r^{-5}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 8 me te -5 kia riro ai te 3.

$$\frac{r^{-6}}{r^{3}}$$

Tuhia anō te r^{3} hei r^{-6}r^{9}. Me whakakore tahi te r^{-6} i te taurunga me te tauraro.

$$\frac{1}{r^{9}}$$

Kimi Pārōnaki e ai ki r

$$-\frac{9}{r^{10}}$$

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 -5 me te -1 kia riro ai te -6.

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{r^{-6}}{r^{8}r^{-5}})$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 8 me te -5 kia riro ai te 3.

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{r^{-6}}{r^{3}})$$

Tuhia anō te r^{3} hei r^{-6}r^{9}. Me whakakore tahi te r^{-6} i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{1}{r^{9}})$$

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).

$$-\left(r^{9}\right)^{-1-1}\frac{\mathrm{d}}{\mathrm{d}r}(r^{9})$$

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}.

$$-\left(r^{9}\right)^{-2}\times 9r^{9-1}$$

Whakarūnātia.

$$-9r^{8}\left(r^{9}\right)^{-2}$$