Whakaoti i te 30x^340x^650x^7

$$30 x ^ { 3 } 40 x ^ { 6 } 50 x ^ { 7 }$$

Aromātai

$$60000x^{16}$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 6 kia riro ai te 9.

$$30x^{9}\times 40\times 50x^{7}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 9 me te 7 kia riro ai te 16.

$$30x^{16}\times 40\times 50$$

Whakareatia te 30 ki te 40, ka 1200.

$$1200x^{16}\times 50$$

Whakareatia te 1200 ki te 50, ka 60000.

$$60000x^{16}$$

Kimi Pārōnaki e ai ki x

$$960000x^{15}$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 6 kia riro ai te 9.

$$\frac{\mathrm{d}}{\mathrm{d}x}(30x^{9}\times 40\times 50x^{7})$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 9 me te 7 kia riro ai te 16.

$$\frac{\mathrm{d}}{\mathrm{d}x}(30x^{16}\times 40\times 50)$$

Whakareatia te 30 ki te 40, ka 1200.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1200x^{16}\times 50)$$

Whakareatia te 1200 ki te 50, ka 60000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(60000x^{16})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$16\times 60000x^{16-1}$$

Whakareatia 16 ki te 60000.

$$960000x^{16-1}$$

Tango 1 mai i 16.

$$960000x^{15}$$