Whakaoti i te p(x)x^4/x^4+5x^2+4

$$p ( x ) \frac { x ^ { 4 } } { x ^ { 4 } + 5 x ^ { 2 } + 4 }$$

Aromātai

$$\frac{px^{5}}{x^{4}+5x^{2}+4}$$

Ngā Hipanga Rongoā Poto

Tuhia te p\times \frac{x^{4}}{x^{4}+5x^{2}+4} hei hautanga kotahi.

$$\frac{px^{4}}{x^{4}+5x^{2}+4}x$$

Tuhia te \frac{px^{4}}{x^{4}+5x^{2}+4}x hei hautanga kotahi.

$$\frac{px^{4}x}{x^{4}+5x^{2}+4}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 4 me te 1 kia riro ai te 5.

$$\frac{px^{5}}{x^{4}+5x^{2}+4}$$

Kimi Pārōnaki e ai ki x

$$\frac{px^{4}\left(x^{4}+15x^{2}+20\right)}{x^{8}+10x^{6}+33x^{4}+40x^{2}+16}$$

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

Tuhia te p\times \frac{x^{4}}{x^{4}+5x^{2}+4} hei hautanga kotahi.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{px^{4}}{x^{4}+5x^{2}+4}x)$$

Tuhia te \frac{px^{4}}{x^{4}+5x^{2}+4}x hei hautanga kotahi.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{px^{4}x}{x^{4}+5x^{2}+4})$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 4 me te 1 kia riro ai te 5.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{px^{5}}{x^{4}+5x^{2}+4})$$

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.

$$\frac{\left(x^{4}+5x^{2}+4\right)\frac{\mathrm{d}}{\mathrm{d}x}(px^{5})-px^{5}\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}+5x^{2}+4)}{\left(x^{4}+5x^{2}+4\right)^{2}}$$

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}.

$$\frac{\left(x^{4}+5x^{2}+4\right)\times 5px^{5-1}-px^{5}\left(4x^{4-1}+2\times 5x^{2-1}\right)}{\left(x^{4}+5x^{2}+4\right)^{2}}$$

Whakarūnātia.

$$\frac{\left(x^{4}+5x^{2}+4\right)\times 5px^{4}-px^{5}\left(4x^{3}+10x^{1}\right)}{\left(x^{4}+5x^{2}+4\right)^{2}}$$

Whakareatia x^{4}+5x^{2}+4 ki te 5px^{4}.

$$\frac{x^{4}\times 5px^{4}+5x^{2}\times 5px^{4}+4\times 5px^{4}-px^{5}\left(4x^{3}+10x^{1}\right)}{\left(x^{4}+5x^{2}+4\right)^{2}}$$

Whakareatia px^{5} ki te 4x^{3}+10x^{1}.

$$\frac{x^{4}\times 5px^{4}+5x^{2}\times 5px^{4}+4\times 5px^{4}-\left(px^{5}\times 4x^{3}+px^{5}\times 10x^{1}\right)}{\left(x^{4}+5x^{2}+4\right)^{2}}$$

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

$$\frac{5px^{4+4}+5\times 5px^{2+4}+4\times 5px^{4}-\left(p\times 4x^{5+3}+p\times 10x^{5+1}\right)}{\left(x^{4}+5x^{2}+4\right)^{2}}$$

Whakarūnātia.

$$\frac{5px^{8}+25px^{6}+20px^{4}-\left(4px^{8}+10px^{6}\right)}{\left(x^{4}+5x^{2}+4\right)^{2}}$$

Pahekotia ngā kīanga tau ōrite.

$$\frac{px^{8}+15px^{6}+20px^{4}}{\left(x^{4}+5x^{2}+4\right)^{2}}$$