Whakaoti i te 5x^3*4x:10x^2-16x^3:4x^2*2x

$$5 x ^ { 3 } \cdot 4 x : 10 x ^ { 2 } - 16 x ^ { 3 } : 4 x ^ { 2 } \cdot 2 x$$

Aromātai

$$-6x^{6}$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 1 kia riro ai te 4.

$$\frac{5x^{4}\times 4}{10}x^{2}-\frac{16x^{3}}{4}x^{2}\times 2x$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 1 kia riro ai te 3.

$$\frac{5x^{4}\times 4}{10}x^{2}-\frac{16x^{3}}{4}x^{3}\times 2$$

Whakareatia te 5 ki te 4, ka 20.

$$\frac{20x^{4}}{10}x^{2}-\frac{16x^{3}}{4}x^{3}\times 2$$

Whakawehea te 20x^{4} ki te 10, kia riro ko 2x^{4}.

$$2x^{4}x^{2}-\frac{16x^{3}}{4}x^{3}\times 2$$

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

$$2x^{6}-\frac{16x^{3}}{4}x^{3}\times 2$$

Whakawehea te 16x^{3} ki te 4, kia riro ko 4x^{3}.

$$2x^{6}-4x^{3}x^{3}\times 2$$

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

$$2x^{6}-4x^{6}\times 2$$

Whakareatia te 4 ki te 2, ka 8.

$$2x^{6}-8x^{6}$$

Pahekotia te 2x^{6} me -8x^{6}, ka -6x^{6}.

$$-6x^{6}$$

Kimi Pārōnaki e ai ki x

$$-36x^{5}$$

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 1 kia riro ai te 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5x^{4}\times 4}{10}x^{2}-\frac{16x^{3}}{4}x^{2}\times 2x)$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 1 kia riro ai te 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5x^{4}\times 4}{10}x^{2}-\frac{16x^{3}}{4}x^{3}\times 2)$$

Whakareatia te 5 ki te 4, ka 20.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{20x^{4}}{10}x^{2}-\frac{16x^{3}}{4}x^{3}\times 2)$$

Whakawehea te 20x^{4} ki te 10, kia riro ko 2x^{4}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{4}x^{2}-\frac{16x^{3}}{4}x^{3}\times 2)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{6}-\frac{16x^{3}}{4}x^{3}\times 2)$$

Whakawehea te 16x^{3} ki te 4, kia riro ko 4x^{3}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{6}-4x^{3}x^{3}\times 2)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{6}-4x^{6}\times 2)$$

Whakareatia te 4 ki te 2, ka 8.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{6}-8x^{6})$$

Pahekotia te 2x^{6} me -8x^{6}, ka -6x^{6}.

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

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$6\left(-6\right)x^{6-1}$$

Whakareatia 6 ki te -6.

$$-36x^{6-1}$$

Tango 1 mai i 6.

$$-36x^{5}$$