-1/-3x/2x-6 eching

$$- \frac { 1 } { - 3 } \frac { x } { 2 x - 6 }$$

Baholash

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

Qisqa yechim qadamlari

\frac{1}{-3} kasri manfiy belgini olib tashlash bilan -\frac{1}{3} sifatida qayta yozilishi mumkin.

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

-\frac{1}{3} ning teskarisi \frac{1}{3} ga teng.

$$\frac{1}{3}\times \frac{x}{2x-6}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{3} ni \frac{x}{2x-6} ga ko‘paytiring.

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

3 ga 2x-6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{x}{6x-18}$$

x ga nisbatan hosilani topish

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

Koeffitsient uchun derivativ qoidasidan foydalanish qadamlari

\frac{1}{-3} kasri manfiy belgini olib tashlash bilan -\frac{1}{3} sifatida qayta yozilishi mumkin.

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

-\frac{1}{3} ning teskarisi \frac{1}{3} ga teng.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{3}\times \frac{x}{2x-6})$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{3} ni \frac{x}{2x-6} ga ko‘paytiring.

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

3 ga 2x-6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{6x-18})$$

Har qanday ikki differensial funksiya uchun ikki funksiyaning koeffitsient hosilasi raqamlagichning hosila marotabasi maxraj minusi va barchasi kvadrat maxrajiga bo'lingan.

$$\frac{\left(6x^{1}-18\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{1})-x^{1}\frac{\mathrm{d}}{\mathrm{d}x}(6x^{1}-18)}{\left(6x^{1}-18\right)^{2}}$$

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

$$\frac{\left(6x^{1}-18\right)x^{1-1}-x^{1}\times 6x^{1-1}}{\left(6x^{1}-18\right)^{2}}$$

Arifmetik hisobni amalga oshirish.

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

Distributiv xususiyatdan foydalanib kengaytirish.

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

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

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

O'xshash hadlarni birlashtirish.

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

6 dan 6 ni ayirish.

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

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

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

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

$$\frac{-18}{\left(6x-18\right)^{2}}$$