f(x)=-3x/x-2 eching

$$f ( x ) = \frac { - 3 x } { x - 2 }$$

x ga nisbatan hosilani topish

$$\frac{6}{\left(x-2\right)^{2}}$$

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.

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

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

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

Arifmetik hisobni amalga oshirish.

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

Distributiv xususiyatdan foydalanib kengaytirish.

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

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

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

Arifmetik hisobni amalga oshirish.

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

O'xshash hadlarni birlashtirish.

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

-3 dan -3 ni ayirish.

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

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

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

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

$$\frac{6\times 1}{\left(x-2\right)^{2}}$$

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$\frac{6}{\left(x-2\right)^{2}}$$

Baholash

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