Whakaoti i te (7y^3+y^2+6y+8)+(6y^3+5y^2+y+7)

$$( 7 y ^ { 3 } + y ^ { 2 } + 6 y + 8 ) + ( 6 y ^ { 3 } + 5 y ^ { 2 } + y + 7 )$$

Aromātai

$$13y^{3}+6y^{2}+7y+15$$

Ngā Upane Otinga

Pahekotia te 7y^{3} me 6y^{3}, ka 13y^{3}.

$$13y^{3}+y^{2}+6y+8+5y^{2}+y+7$$

Pahekotia te y^{2} me 5y^{2}, ka 6y^{2}.

$$13y^{3}+6y^{2}+6y+8+y+7$$

Pahekotia te 6y me y, ka 7y.

$$13y^{3}+6y^{2}+7y+8+7$$

Tāpirihia te 8 ki te 7, ka 15.

$$13y^{3}+6y^{2}+7y+15$$

Kimi Pārōnaki e ai ki y

$$39y^{2}+12y+7$$

Ngā Upane e Whakamahi ana i te Ture Pārōnaki mō te Tapeke

Pahekotia te 7y^{3} me 6y^{3}, ka 13y^{3}.

$$\frac{\mathrm{d}}{\mathrm{d}y}(13y^{3}+y^{2}+6y+8+5y^{2}+y+7)$$

Pahekotia te y^{2} me 5y^{2}, ka 6y^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}y}(13y^{3}+6y^{2}+6y+8+y+7)$$

Pahekotia te 6y me y, ka 7y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(13y^{3}+6y^{2}+7y+8+7)$$

Tāpirihia te 8 ki te 7, ka 15.

$$\frac{\mathrm{d}}{\mathrm{d}y}(13y^{3}+6y^{2}+7y+15)$$

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}.

$$3\times 13y^{3-1}+2\times 6y^{2-1}+7y^{1-1}$$

Whakareatia 3 ki te 13.

$$39y^{3-1}+2\times 6y^{2-1}+7y^{1-1}$$

Tango 1 mai i 3.

$$39y^{2}+2\times 6y^{2-1}+7y^{1-1}$$

Whakareatia 2 ki te 6.

$$39y^{2}+12y^{2-1}+7y^{1-1}$$

Tango 1 mai i 2.

$$39y^{2}+12y^{1}+7y^{1-1}$$

Tango 1 mai i 1.

$$39y^{2}+12y^{1}+7y^{0}$$

Mō tētahi kupu t, t^{1}=t.

$$39y^{2}+12y+7y^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$39y^{2}+12y+7\times 1$$

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

$$39y^{2}+12y+7$$