Whakaoti i te (4x^3-3x^2+7x-2)+(x^3+7x^2-4x+5)

$$( 4 x ^ { 3 } - 3 x ^ { 2 } + 7 x - 2 ) + ( x ^ { 3 } + 7 x ^ { 2 } - 4 x + 5 )$$

Aromātai

$$5x^{3}+4x^{2}+3x+3$$

Ngā Upane Otinga

Pahekotia te 4x^{3} me x^{3}, ka 5x^{3}.

$$5x^{3}-3x^{2}+7x-2+7x^{2}-4x+5$$

Pahekotia te -3x^{2} me 7x^{2}, ka 4x^{2}.

$$5x^{3}+4x^{2}+7x-2-4x+5$$

Pahekotia te 7x me -4x, ka 3x.

$$5x^{3}+4x^{2}+3x-2+5$$

Tāpirihia te -2 ki te 5, ka 3.

$$5x^{3}+4x^{2}+3x+3$$

Kimi Pārōnaki e ai ki x

$$15x^{2}+8x+3$$

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

Pahekotia te 4x^{3} me x^{3}, ka 5x^{3}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{3}-3x^{2}+7x-2+7x^{2}-4x+5)$$

Pahekotia te -3x^{2} me 7x^{2}, ka 4x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{3}+4x^{2}+7x-2-4x+5)$$

Pahekotia te 7x me -4x, ka 3x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{3}+4x^{2}+3x-2+5)$$

Tāpirihia te -2 ki te 5, ka 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{3}+4x^{2}+3x+3)$$

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}.

$$3\times 5x^{3-1}+2\times 4x^{2-1}+3x^{1-1}$$

Whakareatia 3 ki te 5.

$$15x^{3-1}+2\times 4x^{2-1}+3x^{1-1}$$

Tango 1 mai i 3.

$$15x^{2}+2\times 4x^{2-1}+3x^{1-1}$$

Whakareatia 2 ki te 4.

$$15x^{2}+8x^{2-1}+3x^{1-1}$$

Tango 1 mai i 2.

$$15x^{2}+8x^{1}+3x^{1-1}$$

Tango 1 mai i 1.

$$15x^{2}+8x^{1}+3x^{0}$$

Mō tētahi kupu t, t^{1}=t.

$$15x^{2}+8x+3x^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$15x^{2}+8x+3\times 1$$

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

$$15x^{2}+8x+3$$