a/a^2-a eching

$$\frac { a } { a ^ { 2 } - a }$$

Baholash

$$\frac{1}{a-1}$$

Qisqa yechim qadamlari

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{a}{a\left(a-1\right)}$$

Surat va maxrajdagi ikkala a ni qisqartiring.

$$\frac{1}{a-1}$$

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.

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

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

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

Qisqartirish.

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

a^{2}-a^{1} ni a^{0} marotabaga ko'paytirish.

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

a^{1} ni 2a^{1}-a^{0} marotabaga ko'paytirish.

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

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

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

Qisqartirish.

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

O'xshash hadlarni birlashtirish.

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

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

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