Whakaoti i te f(x)=3x/x-5

$$f ( x ) = \frac { 3 x } { x - 5 }$$

Kimi Pārōnaki e ai ki x

$$-\frac{15}{\left(x-5\right)^{2}}$$

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.

$$\frac{\left(x^{1}-5\right)\frac{\mathrm{d}}{\mathrm{d}x}(3x^{1})-3x^{1}\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}-5)}{\left(x^{1}-5\right)^{2}}$$

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}.

$$\frac{\left(x^{1}-5\right)\times 3x^{1-1}-3x^{1}x^{1-1}}{\left(x^{1}-5\right)^{2}}$$

Mahia ngā tātaitanga.

$$\frac{\left(x^{1}-5\right)\times 3x^{0}-3x^{1}x^{0}}{\left(x^{1}-5\right)^{2}}$$

Whakarohaina mā te āhuatanga tohatoha.

$$\frac{x^{1}\times 3x^{0}-5\times 3x^{0}-3x^{1}x^{0}}{\left(x^{1}-5\right)^{2}}$$

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

$$\frac{3x^{1}-5\times 3x^{0}-3x^{1}}{\left(x^{1}-5\right)^{2}}$$

Mahia ngā tātaitanga.

$$\frac{3x^{1}-15x^{0}-3x^{1}}{\left(x^{1}-5\right)^{2}}$$

Pahekotia ngā kīanga tau ōrite.

$$\frac{\left(3-3\right)x^{1}-15x^{0}}{\left(x^{1}-5\right)^{2}}$$

Tango 3 mai i 3.

$$\frac{-15x^{0}}{\left(x^{1}-5\right)^{2}}$$

Mō tētahi kupu t, t^{1}=t.

$$\frac{-15x^{0}}{\left(x-5\right)^{2}}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$\frac{-15}{\left(x-5\right)^{2}}$$

Aromātai

$$\frac{3x}{x-5}$$