Whakaoti i te 3m/m^2+11m+28div1/m+4

$$\frac { 3 m } { m ^ { 2 } + 11 m + 28 } \div \frac { 1 } { m + 4 }$$

Aromātai

$$\frac{3m}{m+7}$$

Ngā Hipanga Rongoā Poto

Whakawehe \frac{3m}{m^{2}+11m+28} ki te \frac{1}{m+4} mā te whakarea \frac{3m}{m^{2}+11m+28} ki te tau huripoki o \frac{1}{m+4}.

$$\frac{3m\left(m+4\right)}{m^{2}+11m+28}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

$$\frac{3m\left(m+4\right)}{\left(m+4\right)\left(m+7\right)}$$

Me whakakore tahi te m+4 i te taurunga me te tauraro.

$$\frac{3m}{m+7}$$

Kimi Pārōnaki e ai ki m

$$\frac{21}{\left(m+7\right)^{2}}$$

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

Whakawehe \frac{3m}{m^{2}+11m+28} ki te \frac{1}{m+4} mā te whakarea \frac{3m}{m^{2}+11m+28} ki te tau huripoki o \frac{1}{m+4}.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{3m\left(m+4\right)}{m^{2}+11m+28})$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{3m\left(m+4\right)}{m^{2}+11m+28}.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{3m\left(m+4\right)}{\left(m+4\right)\left(m+7\right)})$$

Me whakakore tahi te m+4 i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{3m}{m+7})$$

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.

$$\frac{\left(m^{1}+7\right)\frac{\mathrm{d}}{\mathrm{d}m}(3m^{1})-3m^{1}\frac{\mathrm{d}}{\mathrm{d}m}(m^{1}+7)}{\left(m^{1}+7\right)^{2}}$$

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}.

$$\frac{\left(m^{1}+7\right)\times 3m^{1-1}-3m^{1}m^{1-1}}{\left(m^{1}+7\right)^{2}}$$

Mahia ngā tātaitanga.

$$\frac{\left(m^{1}+7\right)\times 3m^{0}-3m^{1}m^{0}}{\left(m^{1}+7\right)^{2}}$$

Whakarohaina mā te āhuatanga tohatoha.

$$\frac{m^{1}\times 3m^{0}+7\times 3m^{0}-3m^{1}m^{0}}{\left(m^{1}+7\right)^{2}}$$

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

$$\frac{3m^{1}+7\times 3m^{0}-3m^{1}}{\left(m^{1}+7\right)^{2}}$$

Mahia ngā tātaitanga.

$$\frac{3m^{1}+21m^{0}-3m^{1}}{\left(m^{1}+7\right)^{2}}$$

Pahekotia ngā kīanga tau ōrite.

$$\frac{\left(3-3\right)m^{1}+21m^{0}}{\left(m^{1}+7\right)^{2}}$$

Tango 3 mai i 3.

$$\frac{21m^{0}}{\left(m^{1}+7\right)^{2}}$$

Mō tētahi kupu t, t^{1}=t.

$$\frac{21m^{0}}{\left(m+7\right)^{2}}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$\frac{21\times 1}{\left(m+7\right)^{2}}$$

Mō tētahi kupu t, t\times 1=t me 1t=t.

$$\frac{21}{\left(m+7\right)^{2}}$$