2x/3x-2 eching

$$\frac { 2 x } { 3 x - 2 }$$

x ga nisbatan hosilani topish

$$-\frac{4}{\left(3x-2\right)^{2}}$$

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.

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

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

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

Arifmetik hisobni amalga oshirish.

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

Distributiv xususiyatdan foydalanib kengaytirish.

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

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

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

Arifmetik hisobni amalga oshirish.

$$\frac{6x^{1}-4x^{0}-6x^{1}}{\left(3x^{1}-2\right)^{2}}$$

O'xshash hadlarni birlashtirish.

$$\frac{\left(6-6\right)x^{1}-4x^{0}}{\left(3x^{1}-2\right)^{2}}$$

6 dan 6 ni ayirish.

$$\frac{-4x^{0}}{\left(3x^{1}-2\right)^{2}}$$

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

$$\frac{-4x^{0}}{\left(3x-2\right)^{2}}$$

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

$$\frac{-4}{\left(3x-2\right)^{2}}$$

Baholash

$$\frac{2x}{3x-2}$$