Whakaoti i te [3/4*0001t^4-1/3*001t^3-1/203t^2+4t]_0^12

$$[ \frac { 3 } { 4 } \cdot 0001 t ^ { 4 } - \frac { 1 } { 3 } \cdot 001 t ^ { 3 } - \frac { 1 } { 2 } 03 t ^ { 2 } + 4 t ] _ { 0 } ^ { 12 }$$

Aromātai

$$4t$$

Ngā Upane Otinga

Whakareatia te \frac{3}{4} ki te 0, ka 0.

$$0\times 0\times 0\times 1t^{4}-\frac{1}{3}\times 0\times 0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t$$

Whakareatia te 0 ki te 0, ka 0.

$$0\times 0\times 1t^{4}-\frac{1}{3}\times 0\times 0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t$$

Whakareatia te 0 ki te 0, ka 0.

$$0\times 1t^{4}-\frac{1}{3}\times 0\times 0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t$$

Whakareatia te 0 ki te 1, ka 0.

$$0t^{4}-\frac{1}{3}\times 0\times 0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$0-\frac{1}{3}\times 0\times 0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t$$

Whakareatia te \frac{1}{3} ki te 0, ka 0.

$$0-0\times 0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t$$

Whakareatia te 0 ki te 0, ka 0.

$$0-0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t$$

Whakareatia te 0 ki te 1, ka 0.

$$0-0t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$0-0-\frac{1}{2}\times 0\times 3t^{2}+4t$$

Mā te tango i te 0 i a ia ake anō ka toe ko te 0.

$$0-\frac{1}{2}\times 0\times 3t^{2}+4t$$

Whakareatia te \frac{1}{2} ki te 0, ka 0.

$$0-0\times 3t^{2}+4t$$

Whakareatia te 0 ki te 3, ka 0.

$$0-0t^{2}+4t$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$0-0+4t$$

Mā te tango i te 0 i a ia ake anō ka toe ko te 0.

$$0+4t$$

Ko te tau i tāpiria he kore ka hua koia tonu.

$$4t$$

Kimi Pārōnaki e ai ki t

$$4$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Whakareatia te \frac{3}{4} ki te 0, ka 0.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0\times 0\times 0\times 1t^{4}-\frac{1}{3}\times 0\times 0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t)$$

Whakareatia te 0 ki te 0, ka 0.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0\times 0\times 1t^{4}-\frac{1}{3}\times 0\times 0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t)$$

Whakareatia te 0 ki te 0, ka 0.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0\times 1t^{4}-\frac{1}{3}\times 0\times 0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t)$$

Whakareatia te 0 ki te 1, ka 0.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0t^{4}-\frac{1}{3}\times 0\times 0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t)$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0-\frac{1}{3}\times 0\times 0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t)$$

Whakareatia te \frac{1}{3} ki te 0, ka 0.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0-0\times 0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t)$$

Whakareatia te 0 ki te 0, ka 0.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0-0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t)$$

Whakareatia te 0 ki te 1, ka 0.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0-0t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t)$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0-0-\frac{1}{2}\times 0\times 3t^{2}+4t)$$

Mā te tango i te 0 i a ia ake anō ka toe ko te 0.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0-\frac{1}{2}\times 0\times 3t^{2}+4t)$$

Whakareatia te \frac{1}{2} ki te 0, ka 0.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0-0\times 3t^{2}+4t)$$

Whakareatia te 0 ki te 3, ka 0.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0-0t^{2}+4t)$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0-0+4t)$$

Mā te tango i te 0 i a ia ake anō ka toe ko te 0.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0+4t)$$

Ko te tau i tāpiria he kore ka hua koia tonu.

$$\frac{\mathrm{d}}{\mathrm{d}t}(4t)$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$4t^{1-1}$$

Tango 1 mai i 1.

$$4t^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$4\times 1$$

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

$$4$$