x/2x-4= eching

$$\frac { x } { 2 x - 4 } =$$

x ga nisbatan hosilani topish

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

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.

$$\frac{\left(2x^{1}-4\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{1})-x^{1}\frac{\mathrm{d}}{\mathrm{d}x}(2x^{1}-4)}{\left(2x^{1}-4\right)^{2}}$$

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

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

Arifmetik hisobni amalga oshirish.

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

Distributiv xususiyatdan foydalanib kengaytirish.

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

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

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

O'xshash hadlarni birlashtirish.

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

2 dan 2 ni ayirish.

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

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

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

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

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

Baholash

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