Whakaoti i te d/dxleft((4x-1)(3x+2)right)

$$\frac{d}{d x } \left((4x-1)(3x+2) \right)$$

Aromātai

$$24x+5$$

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

Mo ētahi pānga e rua e taea ana te pārōnaki, ko te pārōnaki o te hua o ngā pānga e rua ko te pānga tuatahi whakareatia ki te pārōnaki o te pānga tuarua tāpiri i te pānga tuarua whakareatia ki te pārōnaki o te mea tuatahi.

$$\left(4x^{1}-1\right)\frac{\mathrm{d}}{\mathrm{d}x}(3x^{1}+2)+\left(3x^{1}+2\right)\frac{\mathrm{d}}{\mathrm{d}x}(4x^{1}-1)$$

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}.

$$\left(4x^{1}-1\right)\times 3x^{1-1}+\left(3x^{1}+2\right)\times 4x^{1-1}$$

Whakarūnātia.

$$\left(4x^{1}-1\right)\times 3x^{0}+\left(3x^{1}+2\right)\times 4x^{0}$$

Whakareatia 4x^{1}-1 ki te 3x^{0}.

$$4x^{1}\times 3x^{0}-3x^{0}+\left(3x^{1}+2\right)\times 4x^{0}$$

Whakareatia 3x^{1}+2 ki te 4x^{0}.

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

Hei whakarea pū o te pūtake ōrite, tāpiri ana taupū.

$$3\times 4x^{1}+3\left(-1\right)x^{0}+3\times 4x^{1}+2\times 4x^{0}$$

Whakarūnātia.

$$12x^{1}-3x^{0}+12x^{1}+8x^{0}$$

Pahekotia ngā kīanga tau ōrite.

$$\left(12+12\right)x^{1}+\left(-3+8\right)x^{0}$$

Tāpiri 12 ki te 12.

$$24x^{1}+\left(-3+8\right)x^{0}$$

Tāpiri -3 ki te 8.

$$24x^{1}+5x^{0}$$

Mō tētahi kupu t, t^{1}=t.

$$24x+5x^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$24x+5\times 1$$

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

$$24x+5$$

Kimi Pārōnaki e ai ki x

$$24$$