3x/6x+3 eching

$$\frac { 3 x } { 6 x + 3 }$$

Baholash

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

Qisqa yechim qadamlari

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala 3 ni qisqartiring.

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

x ga nisbatan hosilani topish

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

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.

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

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

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

Arifmetik hisobni amalga oshirish.

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

Distributiv xususiyatdan foydalanib kengaytirish.

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

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

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

Arifmetik hisobni amalga oshirish.

$$\frac{18x^{1}+9x^{0}-18x^{1}}{\left(6x^{1}+3\right)^{2}}$$

O'xshash hadlarni birlashtirish.

$$\frac{\left(18-18\right)x^{1}+9x^{0}}{\left(6x^{1}+3\right)^{2}}$$

18 dan 18 ni ayirish.

$$\frac{9x^{0}}{\left(6x^{1}+3\right)^{2}}$$

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

$$\frac{9x^{0}}{\left(6x+3\right)^{2}}$$

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

$$\frac{9\times 1}{\left(6x+3\right)^{2}}$$

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

$$\frac{9}{\left(6x+3\right)^{2}}$$