Whakaoti i te x*4^2/3x-6

$$\frac { x \times 4 ^ { 2 } } { 3 x - 6 }$$

Kimi Pārōnaki e ai ki x

$$-\frac{32}{3\left(x-2\right)^{2}}$$

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

Tātaihia te 4 mā te pū o 2, kia riro ko 16.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x\times 16}{3x-6})$$

Mō ngā pānga e rua e taea ana te pārōnaki, ko te pārōnaki o te otinga o ngā pānga e rua ko te tauraro whakareatia ki te pārōnaki o te taurunga tango i te taurunga whakareatia ki te pārōnaki o te tauraro, ā, ka whakawehea te katoa ki te tauraro kua pūruatia.

$$\frac{\left(3x^{1}-6\right)\frac{\mathrm{d}}{\mathrm{d}x}(16x^{1})-16x^{1}\frac{\mathrm{d}}{\mathrm{d}x}(3x^{1}-6)}{\left(3x^{1}-6\right)^{2}}$$

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}.

$$\frac{\left(3x^{1}-6\right)\times 16x^{1-1}-16x^{1}\times 3x^{1-1}}{\left(3x^{1}-6\right)^{2}}$$

Mahia ngā tātaitanga.

$$\frac{\left(3x^{1}-6\right)\times 16x^{0}-16x^{1}\times 3x^{0}}{\left(3x^{1}-6\right)^{2}}$$

Whakarohaina mā te āhuatanga tohatoha.

$$\frac{3x^{1}\times 16x^{0}-6\times 16x^{0}-16x^{1}\times 3x^{0}}{\left(3x^{1}-6\right)^{2}}$$

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

$$\frac{3\times 16x^{1}-6\times 16x^{0}-16\times 3x^{1}}{\left(3x^{1}-6\right)^{2}}$$

Mahia ngā tātaitanga.

$$\frac{48x^{1}-96x^{0}-48x^{1}}{\left(3x^{1}-6\right)^{2}}$$

Pahekotia ngā kīanga tau ōrite.

$$\frac{\left(48-48\right)x^{1}-96x^{0}}{\left(3x^{1}-6\right)^{2}}$$

Tango 48 mai i 48.

$$\frac{-96x^{0}}{\left(3x^{1}-6\right)^{2}}$$

Mō tētahi kupu t, t^{1}=t.

$$\frac{-96x^{0}}{\left(3x-6\right)^{2}}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$\frac{-96}{\left(3x-6\right)^{2}}$$

Aromātai

$$\frac{16x}{3\left(x-2\right)}$$

Ngā Hipanga Rongoā Poto

Tātaihia te 4 mā te pū o 2, kia riro ko 16.

$$\frac{x\times 16}{3x-6}$$