Whakaoti i te 4c/16c^2-9

$$\frac { 4 c } { 16 c ^ { 2 } - 9 }$$

Kimi Pārōnaki e ai ki c

$$-\frac{4\left(16c^{2}+9\right)}{\left(16c^{2}-9\right)^{2}}$$

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

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.

$$\frac{\left(16c^{2}-9\right)\frac{\mathrm{d}}{\mathrm{d}c}(4c^{1})-4c^{1}\frac{\mathrm{d}}{\mathrm{d}c}(16c^{2}-9)}{\left(16c^{2}-9\right)^{2}}$$

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}.

$$\frac{\left(16c^{2}-9\right)\times 4c^{1-1}-4c^{1}\times 2\times 16c^{2-1}}{\left(16c^{2}-9\right)^{2}}$$

Mahia ngā tātaitanga.

$$\frac{\left(16c^{2}-9\right)\times 4c^{0}-4c^{1}\times 32c^{1}}{\left(16c^{2}-9\right)^{2}}$$

Whakarohaina mā te āhuatanga tohatoha.

$$\frac{16c^{2}\times 4c^{0}-9\times 4c^{0}-4c^{1}\times 32c^{1}}{\left(16c^{2}-9\right)^{2}}$$

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

$$\frac{16\times 4c^{2}-9\times 4c^{0}-4\times 32c^{1+1}}{\left(16c^{2}-9\right)^{2}}$$

Mahia ngā tātaitanga.

$$\frac{64c^{2}-36c^{0}-128c^{2}}{\left(16c^{2}-9\right)^{2}}$$

Pahekotia ngā kīanga tau ōrite.

$$\frac{\left(64-128\right)c^{2}-36c^{0}}{\left(16c^{2}-9\right)^{2}}$$

Tango 128 mai i 64.

$$\frac{-64c^{2}-36c^{0}}{\left(16c^{2}-9\right)^{2}}$$

Tauwehea te 4.

$$\frac{4\left(-16c^{2}-9c^{0}\right)}{\left(16c^{2}-9\right)^{2}}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$\frac{4\left(-16c^{2}-9\right)}{\left(16c^{2}-9\right)^{2}}$$

Aromātai

$$\frac{4c}{16c^{2}-9}$$