2x(-3x)-6x^2/-12x= eching

$$\frac { 2 x ( - 3 x ) - 6 x ^ { 2 } } { - 12 x } =$$

Baholash

$$x$$

Yechim qadamlari

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$\frac{2x^{2}\left(-3\right)-6x^{2}}{-12x}$$

-6 hosil qilish uchun 2 va -3 ni ko'paytirish.

$$\frac{-6x^{2}-6x^{2}}{-12x}$$

-12x^{2} ni olish uchun -6x^{2} va -6x^{2} ni birlashtirish.

$$\frac{-12x^{2}}{-12x}$$

Surat va maxrajdagi ikkala -12x ni qisqartiring.

$$x$$

x ga nisbatan hosilani topish

$$1$$

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.

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

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

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

Qisqartirish.

$$\frac{-12x^{1}\left(\left(-6x\right)x^{0}-12x^{1}\right)-\left(\left(-6x\right)x^{1}-6x^{2}\right)\left(-12\right)x^{0}}{\left(-12x^{1}\right)^{2}}$$

-12x^{1} ni \left(-6x\right)x^{0}-12x^{1} marotabaga ko'paytirish.

$$\frac{-12x^{1}\left(-6x\right)x^{0}-12x^{1}\left(-12\right)x^{1}-\left(\left(-6x\right)x^{1}-6x^{2}\right)\left(-12\right)x^{0}}{\left(-12x^{1}\right)^{2}}$$

\left(-6x\right)x^{1}-6x^{2} ni -12x^{0} marotabaga ko'paytirish.

$$\frac{-12x^{1}\left(-6x\right)x^{0}-12x^{1}\left(-12\right)x^{1}-\left(\left(-6x\right)x^{1}\left(-12\right)x^{0}-6x^{2}\left(-12\right)x^{0}\right)}{\left(-12x^{1}\right)^{2}}$$

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

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

Qisqartirish.

$$\frac{72xx^{1}+144x^{2}-\left(72xx^{1}+72x^{2}\right)}{\left(-12x^{1}\right)^{2}}$$

O'xshash hadlarni birlashtirish.

$$\frac{72x^{2}}{\left(-12x^{1}\right)^{2}}$$

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

$$\frac{72x^{2}}{\left(-12x\right)^{2}}$$