Whakaoti i te 15n^53n^545n^2

$$15 n ^ { 5 } 3 n ^ { 5 } 45 n ^ { 2 }$$

Aromātai

$$2025n^{12}$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 5 me te 5 kia riro ai te 10.

$$15n^{10}\times 3\times 45n^{2}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 10 me te 2 kia riro ai te 12.

$$15n^{12}\times 3\times 45$$

Whakareatia te 15 ki te 3, ka 45.

$$45n^{12}\times 45$$

Whakareatia te 45 ki te 45, ka 2025.

$$2025n^{12}$$

Kimi Pārōnaki e ai ki n

$$24300n^{11}$$

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 5 me te 5 kia riro ai te 10.

$$\frac{\mathrm{d}}{\mathrm{d}n}(15n^{10}\times 3\times 45n^{2})$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 10 me te 2 kia riro ai te 12.

$$\frac{\mathrm{d}}{\mathrm{d}n}(15n^{12}\times 3\times 45)$$

Whakareatia te 15 ki te 3, ka 45.

$$\frac{\mathrm{d}}{\mathrm{d}n}(45n^{12}\times 45)$$

Whakareatia te 45 ki te 45, ka 2025.

$$\frac{\mathrm{d}}{\mathrm{d}n}(2025n^{12})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$12\times 2025n^{12-1}$$

Whakareatia 12 ki te 2025.

$$24300n^{12-1}$$

Tango 1 mai i 12.

$$24300n^{11}$$