Whakaoti i te 90^2-120b+4b^2-9

$$90 ^ { 2 } - 120 b + 4 b ^ { 2 } - 9$$

Aromātai

$$4b^{2}-120b+8091$$

Ngā Upane Otinga

Tātaihia te 90 mā te pū o 2, kia riro ko 8100.

$$8100-120b+4b^{2}-9$$

Tangohia te 9 i te 8100, ka 8091.

$$8091-120b+4b^{2}$$

Kimi Pārōnaki e ai ki b

$$8\left(b-15\right)$$

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

Tātaihia te 90 mā te pū o 2, kia riro ko 8100.

$$\frac{\mathrm{d}}{\mathrm{d}b}(8100-120b+4b^{2}-9)$$

Tangohia te 9 i te 8100, ka 8091.

$$\frac{\mathrm{d}}{\mathrm{d}b}(8091-120b+4b^{2})$$

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}.

$$-120b^{1-1}+2\times 4b^{2-1}$$

Tango 1 mai i 1.

$$-120b^{0}+2\times 4b^{2-1}$$

Whakareatia 2 ki te 4.

$$-120b^{0}+8b^{2-1}$$

Tango 1 mai i 2.

$$-120b^{0}+8b^{1}$$

Mō tētahi kupu t, t^{1}=t.

$$-120b^{0}+8b$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$-120+8b$$