Whakaoti i te x^{0}*(x^2)^3div(x^2*x^1/2)

$$x ^ { 0 } \times ( x ^ { 2 } ) ^ { 3 } \div ( x ^ { 2 } \times x ^ { 1 / 2 } )$$

Kimi Pārōnaki e ai ki x

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

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 3 kia riro ai te 6.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{0}x^{6}}{x^{2}x^{\frac{1}{2}}})$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 0 me te 6 kia riro ai te 6.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{6}}{x^{2}x^{\frac{1}{2}}})$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te \frac{1}{2} kia riro ai te \frac{5}{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{6}}{x^{\frac{5}{2}}})$$

Hei whakawehe ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga. Me tango te \frac{5}{2} i te 6 kia riro ai te \frac{7}{2}.

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

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

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

Tango 1 mai i \frac{7}{2}.

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

Aromātai

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