Whakaoti i te 2x/x^2-4div1/x+2

$$\frac { 2 x } { x ^ { 2 } - 4 } \div \frac { 1 } { x + 2 }$$

Aromātai

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

Ngā Hipanga Rongoā Poto

Whakawehe \frac{2x}{x^{2}-4} ki te \frac{1}{x+2} mā te whakarea \frac{2x}{x^{2}-4} ki te tau huripoki o \frac{1}{x+2}.

$$\frac{2x\left(x+2\right)}{x^{2}-4}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

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

Me whakakore tahi te x+2 i te taurunga me te tauraro.

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

Kimi Pārōnaki e ai ki x

$$-\frac{4}{\left(x-2\right)^{2}}$$

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

Whakawehe \frac{2x}{x^{2}-4} ki te \frac{1}{x+2} mā te whakarea \frac{2x}{x^{2}-4} ki te tau huripoki o \frac{1}{x+2}.

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

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{2x\left(x+2\right)}{x^{2}-4}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2x\left(x+2\right)}{\left(x-2\right)\left(x+2\right)})$$

Me whakakore tahi te x+2 i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2x}{x-2})$$

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.

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

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}.

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

Mahia ngā tātaitanga.

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

Whakarohaina mā te āhuatanga tohatoha.

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

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

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

Mahia ngā tātaitanga.

$$\frac{2x^{1}-4x^{0}-2x^{1}}{\left(x^{1}-2\right)^{2}}$$

Pahekotia ngā kīanga tau ōrite.

$$\frac{\left(2-2\right)x^{1}-4x^{0}}{\left(x^{1}-2\right)^{2}}$$

Tango 2 mai i 2.

$$\frac{-4x^{0}}{\left(x^{1}-2\right)^{2}}$$

Mō tētahi kupu t, t^{1}=t.

$$\frac{-4x^{0}}{\left(x-2\right)^{2}}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$\frac{-4}{\left(x-2\right)^{2}}$$