-x/1-x eching

$$\frac { - x } { 1 - x }$$

x ga nisbatan hosilani topish

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

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.

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

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

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

Arifmetik hisobni amalga oshirish.

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

Distributiv xususiyatdan foydalanib kengaytirish.

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

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

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

Arifmetik hisobni amalga oshirish.

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

O'xshash hadlarni birlashtirish.

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

1 dan 1 ni ayirish.

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

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

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

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

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

Baholash

$$-\frac{x}{1-x}$$