Whakaoti i te 3c^4*4c^-6*c^-7=

$$3 c ^ { 4 } \times 4 c ^ { - 6 } \times c ^ { - 7 } =$$

Aromātai

$$\frac{12}{c^{9}}$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 4 me te -6 kia riro ai te -2.

$$3c^{-2}\times 4c^{-7}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -2 me te -7 kia riro ai te -9.

$$3c^{-9}\times 4$$

Whakareatia te 3 ki te 4, ka 12.

$$12c^{-9}$$

Kimi Pārōnaki e ai ki c

$$-\frac{108}{c^{10}}$$

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 4 me te -6 kia riro ai te -2.

$$\frac{\mathrm{d}}{\mathrm{d}c}(3c^{-2}\times 4c^{-7})$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -2 me te -7 kia riro ai te -9.

$$\frac{\mathrm{d}}{\mathrm{d}c}(3c^{-9}\times 4)$$

Whakareatia te 3 ki te 4, ka 12.

$$\frac{\mathrm{d}}{\mathrm{d}c}(12c^{-9})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$-9\times 12c^{-9-1}$$

Whakareatia -9 ki te 12.

$$-108c^{-9-1}$$

Tango 1 mai i -9.

$$-108c^{-10}$$