2a^2b/2a^2b+2ab eching

$$\frac { 2 a ^ { 2 } b } { 2 a ^ { 2 } b + 2 a b }$$

Baholash

$$\frac{a}{a+1}$$

Qisqa yechim qadamlari

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{2ba^{2}}{2ab\left(a+1\right)}$$

Surat va maxrajdagi ikkala 2ab ni qisqartiring.

$$\frac{a}{a+1}$$

a ga nisbatan hosilani topish

$$\frac{1}{\left(a+1\right)^{2}}$$

Koeffitsient uchun derivativ qoidasidan foydalanish qadamlari

Har qanday ikki differensial funksiya uchun ikki funksiyaning koeffitsient hosilasi raqamlagichning hosila marotabasi maxraj minusi va barchasi kvadrat maxrajiga bo'lingan.

$$\frac{\left(2ba^{2}+2ba^{1}\right)\frac{\mathrm{d}}{\mathrm{d}a}(2ba^{2})-2ba^{2}\frac{\mathrm{d}}{\mathrm{d}a}(2ba^{2}+2ba^{1})}{\left(2ba^{2}+2ba^{1}\right)^{2}}$$

Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.

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

Qisqartirish.

$$\frac{\left(2ba^{2}+2ba^{1}\right)\times 4ba^{1}-2ba^{2}\left(4ba^{1}+2ba^{0}\right)}{\left(2ba^{2}+2ba^{1}\right)^{2}}$$

2ba^{2}+2ba^{1} ni 4ba^{1} marotabaga ko'paytirish.

$$\frac{2ba^{2}\times 4ba^{1}+2ba^{1}\times 4ba^{1}-2ba^{2}\left(4ba^{1}+2ba^{0}\right)}{\left(2ba^{2}+2ba^{1}\right)^{2}}$$

2ba^{2} ni 4ba^{1}+2ba^{0} marotabaga ko'paytirish.

$$\frac{2ba^{2}\times 4ba^{1}+2ba^{1}\times 4ba^{1}-\left(2ba^{2}\times 4ba^{1}+2ba^{2}\times 2ba^{0}\right)}{\left(2ba^{2}+2ba^{1}\right)^{2}}$$

Ayni daraja ko'rsatkichlarini ko'paytirish uchun ularning darajalarini qo'shing.

$$\frac{2b\times 4ba^{2+1}+2b\times 4ba^{1+1}-\left(2b\times 4ba^{2+1}+2b\times 2ba^{2}\right)}{\left(2ba^{2}+2ba^{1}\right)^{2}}$$

Qisqartirish.

$$\frac{8b^{2}a^{3}+8b^{2}a^{2}-\left(8b^{2}a^{3}+4b^{2}a^{2}\right)}{\left(2ba^{2}+2ba^{1}\right)^{2}}$$

O'xshash hadlarni birlashtirish.

$$\frac{4b^{2}a^{2}}{\left(2ba^{2}+2ba^{1}\right)^{2}}$$

Har qanday t sharti uchun t^{1}=t.

$$\frac{4b^{2}a^{2}}{\left(2ba^{2}+2ba\right)^{2}}$$