Whakaoti i te 5x/x^2-5x

$$\frac { 5 x } { x ^ { 2 } - 5 x }$$

Aromātai

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

Ngā Hipanga Rongoā Poto

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

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

Me whakakore tahi te x i te taurunga me te tauraro.

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

Kimi Pārōnaki e ai ki x

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

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.

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

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}.

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

Whakarūnātia.

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

Whakareatia x^{2}-5x^{1} ki te 5x^{0}.

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

Whakareatia 5x^{1} ki te 2x^{1}-5x^{0}.

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

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

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

Whakarūnātia.

$$\frac{5x^{2}-25x^{1}-\left(10x^{2}-25x^{1}\right)}{\left(x^{2}-5x^{1}\right)^{2}}$$

Pahekotia ngā kīanga tau ōrite.

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

Mō tētahi kupu t, t^{1}=t.

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