Whakaoti i te x^2*x*x^3/xfrac{1{2}*x*x1/3}

$$\frac{ { x }^{ 2 } \times x \times { x }^{ 3 } }{ x \frac{ 1 }{ 2 } \times x \times x \frac{ 1 }{ 3 } }$$

Aromātai

$$6x^{3}$$

Ngā Upane Otinga

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.

$$\frac{x^{3}x^{3}}{x\times \frac{1}{2}xx\times \frac{1}{3}}$$

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.

$$\frac{x^{6}}{x\times \frac{1}{2}xx\times \frac{1}{3}}$$

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

$$\frac{x^{6}}{x^{2}\times \frac{1}{2}x\times \frac{1}{3}}$$

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.

$$\frac{x^{6}}{x^{3}\times \frac{1}{2}\times \frac{1}{3}}$$

Me whakakore tahi te x^{3} i te taurunga me te tauraro.

$$\frac{x^{3}}{\frac{1}{3}\times \frac{1}{2}}$$

Whakareatia te \frac{1}{3} ki te \frac{1}{2}, ka \frac{1}{6}.

$$\frac{x^{3}}{\frac{1}{6}}$$

Whakawehe x^{3} ki te \frac{1}{6} mā te whakarea x^{3} ki te tau huripoki o \frac{1}{6}.

$$x^{3}\times 6$$

Kimi Pārōnaki e ai ki x

$$18x^{2}$$

Ngā Upane Otinga

Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3xx^{3}}{\frac{1}{2}xx}x^{2-1})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6x^{2}x^{1})$$

Ko te pārōnaki o tētahi pūrau ko te tapeke o ngā pārōnaki o ōna kīanga tau. Ko te pārōnaki o tētahi kīanga tau pūmau ko 0. Ko te pārōnaki o te ax^{n} ko te nax^{n-1}.

$$6x^{2}x^{1-1}$$

Mahia ngā tātaitanga.

$$6x^{2}x^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$6x^{2}\times 1$$

Mō tētahi kupu t, t\times 1=t me 1t=t.

$$6x^{2}$$