Whakaoti i te 49b^2/49b^2-4div49b/63b+18

$$\frac { 49 b ^ { 2 } } { 49 b ^ { 2 } - 4 } \div \frac { 49 b } { 63 b + 18 }$$

Aromātai

$$\frac{9b}{7b-2}$$

Ngā Hipanga Rongoā Poto

Whakawehe \frac{49b^{2}}{49b^{2}-4} ki te \frac{49b}{63b+18} mā te whakarea \frac{49b^{2}}{49b^{2}-4} ki te tau huripoki o \frac{49b}{63b+18}.

$$\frac{49b^{2}\left(63b+18\right)}{\left(49b^{2}-4\right)\times 49b}$$

Me whakakore tahi te 49b i te taurunga me te tauraro.

$$\frac{b\left(63b+18\right)}{49b^{2}-4}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

$$\frac{9b\left(7b+2\right)}{\left(7b-2\right)\left(7b+2\right)}$$

Me whakakore tahi te 7b+2 i te taurunga me te tauraro.

$$\frac{9b}{7b-2}$$

Kimi Pārōnaki e ai ki b

$$-\frac{18}{\left(7b-2\right)^{2}}$$

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

Whakawehe \frac{49b^{2}}{49b^{2}-4} ki te \frac{49b}{63b+18} mā te whakarea \frac{49b^{2}}{49b^{2}-4} ki te tau huripoki o \frac{49b}{63b+18}.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{49b^{2}\left(63b+18\right)}{\left(49b^{2}-4\right)\times 49b})$$

Me whakakore tahi te 49b i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{b\left(63b+18\right)}{49b^{2}-4})$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{b\left(63b+18\right)}{49b^{2}-4}.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{9b\left(7b+2\right)}{\left(7b-2\right)\left(7b+2\right)})$$

Me whakakore tahi te 7b+2 i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{9b}{7b-2})$$

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.

$$\frac{\left(7b^{1}-2\right)\frac{\mathrm{d}}{\mathrm{d}b}(9b^{1})-9b^{1}\frac{\mathrm{d}}{\mathrm{d}b}(7b^{1}-2)}{\left(7b^{1}-2\right)^{2}}$$

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}.

$$\frac{\left(7b^{1}-2\right)\times 9b^{1-1}-9b^{1}\times 7b^{1-1}}{\left(7b^{1}-2\right)^{2}}$$

Mahia ngā tātaitanga.

$$\frac{\left(7b^{1}-2\right)\times 9b^{0}-9b^{1}\times 7b^{0}}{\left(7b^{1}-2\right)^{2}}$$

Whakarohaina mā te āhuatanga tohatoha.

$$\frac{7b^{1}\times 9b^{0}-2\times 9b^{0}-9b^{1}\times 7b^{0}}{\left(7b^{1}-2\right)^{2}}$$

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

$$\frac{7\times 9b^{1}-2\times 9b^{0}-9\times 7b^{1}}{\left(7b^{1}-2\right)^{2}}$$

Mahia ngā tātaitanga.

$$\frac{63b^{1}-18b^{0}-63b^{1}}{\left(7b^{1}-2\right)^{2}}$$

Pahekotia ngā kīanga tau ōrite.

$$\frac{\left(63-63\right)b^{1}-18b^{0}}{\left(7b^{1}-2\right)^{2}}$$

Tango 63 mai i 63.

$$\frac{-18b^{0}}{\left(7b^{1}-2\right)^{2}}$$

Mō tētahi kupu t, t^{1}=t.

$$\frac{-18b^{0}}{\left(7b-2\right)^{2}}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$\frac{-18}{\left(7b-2\right)^{2}}$$