Whakaoti i te (m+7)^-frac{1{6}}(m+7)^-frac{2{3}}

$$( m + 7 ) ^ { - \frac { 1 } { 6 } } ( m + 7 ) ^ { - \frac { 2 } { 3 } }$$

Kimi Pārōnaki e ai ki m

$$-\frac{5}{6\left(m+7\right)^{\frac{11}{6}}}$$

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 -\frac{1}{6} me te -\frac{2}{3} kia riro ai te -\frac{5}{6}.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\left(m+7\right)^{-\frac{5}{6}})$$

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).

$$-\frac{5}{6}\left(m^{1}+7\right)^{-\frac{5}{6}-1}\frac{\mathrm{d}}{\mathrm{d}m}(m^{1}+7)$$

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}.

$$-\frac{5}{6}\left(m^{1}+7\right)^{-\frac{11}{6}}m^{1-1}$$

Whakarūnātia.

$$-\frac{5}{6}m^{0}\left(m^{1}+7\right)^{-\frac{11}{6}}$$

Mō tētahi kupu t, t^{1}=t.

$$-\frac{5}{6}m^{0}\left(m+7\right)^{-\frac{11}{6}}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$-\frac{5}{6}\left(m+7\right)^{-\frac{11}{6}}$$

Aromātai

$$\frac{1}{\left(m+7\right)^{\frac{5}{6}}}$$