Whakaoti i te 7(25x^4)^-frac{1{2}}

$$7 ( 25 x ^ { 4 } ) ^ { - \frac { 1 } { 2 } }$$

Aromātai

$$\frac{7}{5x^{2}}$$

Ngā Upane Otinga

Whakarohaina te \left(25x^{4}\right)^{-\frac{1}{2}}.

$$7\times 25^{-\frac{1}{2}}\left(x^{4}\right)^{-\frac{1}{2}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 4 me te -\frac{1}{2} kia riro ai te -2.

$$7\times 25^{-\frac{1}{2}}x^{-2}$$

Tātaihia te 25 mā te pū o -\frac{1}{2}, kia riro ko \frac{1}{5}.

$$7\times \frac{1}{5}x^{-2}$$

Whakareatia te 7 ki te \frac{1}{5}, ka \frac{7}{5}.

$$\frac{7}{5}x^{-2}$$

Kimi Pārōnaki e ai ki x

$$-\frac{14}{5x^{3}}$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Whakarohaina te \left(25x^{4}\right)^{-\frac{1}{2}}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7\times 25^{-\frac{1}{2}}\left(x^{4}\right)^{-\frac{1}{2}})$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 4 me te -\frac{1}{2} kia riro ai te -2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7\times 25^{-\frac{1}{2}}x^{-2})$$

Tātaihia te 25 mā te pū o -\frac{1}{2}, kia riro ko \frac{1}{5}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7\times \frac{1}{5}x^{-2})$$

Whakareatia te 7 ki te \frac{1}{5}, ka \frac{7}{5}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{7}{5}x^{-2})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$-2\times \frac{7}{5}x^{-2-1}$$

Whakareatia -2 ki te \frac{7}{5}.

$$-\frac{14}{5}x^{-2-1}$$

Tango 1 mai i -2.

$$-\frac{14}{5}x^{-3}$$