2x^2/1-6x eching

$$\frac{ 2 { x }^{ 2 } }{ 1-6x }$$

x ga nisbatan hosilani topish

$$-\frac{4x\left(3x-1\right)}{\left(6x-1\right)^{2}}$$

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.

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

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

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

Arifmetik hisobni amalga oshirish.

$$\frac{\left(-6x^{1}+1\right)\times 4x^{1}-2x^{2}\left(-6\right)x^{0}}{\left(-6x^{1}+1\right)^{2}}$$

Distributiv xususiyatdan foydalanib kengaytirish.

$$\frac{-6x^{1}\times 4x^{1}+4x^{1}-2x^{2}\left(-6\right)x^{0}}{\left(-6x^{1}+1\right)^{2}}$$

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

$$\frac{-6\times 4x^{1+1}+4x^{1}-2\left(-6\right)x^{2}}{\left(-6x^{1}+1\right)^{2}}$$

Arifmetik hisobni amalga oshirish.

$$\frac{-24x^{2}+4x^{1}-\left(-12x^{2}\right)}{\left(-6x^{1}+1\right)^{2}}$$

O'xshash hadlarni birlashtirish.

$$\frac{\left(-24-\left(-12\right)\right)x^{2}+4x^{1}}{\left(-6x^{1}+1\right)^{2}}$$

-24 dan -12 ni ayirish.

$$\frac{-12x^{2}+4x^{1}}{\left(-6x^{1}+1\right)^{2}}$$

4x omili.

$$\frac{4x\left(-3x^{1}+x^{0}\right)}{\left(-6x^{1}+1\right)^{2}}$$

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

$$\frac{4x\left(-3x+x^{0}\right)}{\left(-6x+1\right)^{2}}$$

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

$$\frac{4x\left(-3x+1\right)}{\left(-6x+1\right)^{2}}$$

Baholash

$$\frac{2x^{2}}{1-6x}$$