Whakaoti i te x^-14/x^-2x^-7

$$\frac { x ^ { - 14 } } { x ^ { - 2 } x ^ { - 7 } }$$

Aromātai

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

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -2 me te -7 kia riro ai te -9.

$$\frac{x^{-14}}{x^{-9}}$$

Tuhia anō te x^{-9} hei x^{-14}x^{5}. Me whakakore tahi te x^{-14} i te taurunga me te tauraro.

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

Kimi Pārōnaki e ai ki x

$$-\frac{5}{x^{6}}$$

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 -2 me te -7 kia riro ai te -9.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{-14}}{x^{-9}})$$

Tuhia anō te x^{-9} hei x^{-14}x^{5}. Me whakakore tahi te x^{-14} i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{x^{5}})$$

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).

$$-\left(x^{5}\right)^{-1-1}\frac{\mathrm{d}}{\mathrm{d}x}(x^{5})$$

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}.

$$-\left(x^{5}\right)^{-2}\times 5x^{5-1}$$

Whakarūnātia.

$$-5x^{4}\left(x^{5}\right)^{-2}$$