Whakaoti i te 1*(10/3x)div(5/6x)

$$1 \cdot ( \frac { 10 } { 3 } x ) \div ( \frac { 5 } { 6 x } )$$

Aromātai

$$4x^{2}$$

Ngā Upane Otinga

Whakareatia te 1 ki te \frac{10}{3}, ka \frac{10}{3}.

$$\frac{\frac{10}{3}x}{\frac{5}{6x}}$$

Whakawehe \frac{10}{3}x ki te \frac{5}{6x} mā te whakarea \frac{10}{3}x ki te tau huripoki o \frac{5}{6x}.

$$\frac{\frac{10}{3}x\times 6x}{5}$$

Whakareatia te x ki te x, ka x^{2}.

$$\frac{\frac{10}{3}x^{2}\times 6}{5}$$

Tuhia te \frac{10}{3}\times 6 hei hautanga kotahi.

$$\frac{\frac{10\times 6}{3}x^{2}}{5}$$

Whakareatia te 10 ki te 6, ka 60.

$$\frac{\frac{60}{3}x^{2}}{5}$$

Whakawehea te 60 ki te 3, kia riro ko 20.

$$\frac{20x^{2}}{5}$$

Whakawehea te 20x^{2} ki te 5, kia riro ko 4x^{2}.

$$4x^{2}$$

Kimi Pārōnaki e ai ki x

$$8x$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Whakareatia te 1 ki te \frac{10}{3}, ka \frac{10}{3}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{10}{3}x}{\frac{5}{6x}})$$

Whakawehe \frac{10}{3}x ki te \frac{5}{6x} mā te whakarea \frac{10}{3}x ki te tau huripoki o \frac{5}{6x}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{10}{3}x\times 6x}{5})$$

Whakareatia te x ki te x, ka x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{10}{3}x^{2}\times 6}{5})$$

Tuhia te \frac{10}{3}\times 6 hei hautanga kotahi.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{10\times 6}{3}x^{2}}{5})$$

Whakareatia te 10 ki te 6, ka 60.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{60}{3}x^{2}}{5})$$

Whakawehea te 60 ki te 3, kia riro ko 20.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{20x^{2}}{5})$$

Whakawehea te 20x^{2} ki te 5, kia riro ko 4x^{2}.

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

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$2\times 4x^{2-1}$$

Whakareatia 2 ki te 4.

$$8x^{2-1}$$

Tango 1 mai i 2.

$$8x^{1}$$

Mō tētahi kupu t, t^{1}=t.

$$8x$$