2v/3v-9 eching

$$\frac { 2 v } { 3 v - 9 }$$

v ga nisbatan hosilani topish

$$-\frac{2}{\left(v-3\right)^{2}}$$

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.

$$\frac{\left(3v^{1}-9\right)\frac{\mathrm{d}}{\mathrm{d}v}(2v^{1})-2v^{1}\frac{\mathrm{d}}{\mathrm{d}v}(3v^{1}-9)}{\left(3v^{1}-9\right)^{2}}$$

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

$$\frac{\left(3v^{1}-9\right)\times 2v^{1-1}-2v^{1}\times 3v^{1-1}}{\left(3v^{1}-9\right)^{2}}$$

Arifmetik hisobni amalga oshirish.

$$\frac{\left(3v^{1}-9\right)\times 2v^{0}-2v^{1}\times 3v^{0}}{\left(3v^{1}-9\right)^{2}}$$

Distributiv xususiyatdan foydalanib kengaytirish.

$$\frac{3v^{1}\times 2v^{0}-9\times 2v^{0}-2v^{1}\times 3v^{0}}{\left(3v^{1}-9\right)^{2}}$$

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

$$\frac{3\times 2v^{1}-9\times 2v^{0}-2\times 3v^{1}}{\left(3v^{1}-9\right)^{2}}$$

Arifmetik hisobni amalga oshirish.

$$\frac{6v^{1}-18v^{0}-6v^{1}}{\left(3v^{1}-9\right)^{2}}$$

O'xshash hadlarni birlashtirish.

$$\frac{\left(6-6\right)v^{1}-18v^{0}}{\left(3v^{1}-9\right)^{2}}$$

6 dan 6 ni ayirish.

$$\frac{-18v^{0}}{\left(3v^{1}-9\right)^{2}}$$

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

$$\frac{-18v^{0}}{\left(3v-9\right)^{2}}$$

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

$$\frac{-18}{\left(3v-9\right)^{2}}$$

Baholash

$$\frac{2v}{3\left(v-3\right)}$$