f(x)=2n/n+1 eching

$$f ( x ) = \frac { 2 n } { n + 1 }$$

n ga nisbatan hosilani topish

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

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.

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

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

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

Arifmetik hisobni amalga oshirish.

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

Distributiv xususiyatdan foydalanib kengaytirish.

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

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

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

O'xshash hadlarni birlashtirish.

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

2 dan 2 ni ayirish.

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

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

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

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

$$\frac{2\times 1}{\left(n+1\right)^{2}}$$

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

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

Baholash

$$\frac{2n}{n+1}$$