6-a*1/6-a eching

$$6 - a \cdot \frac { 1 } { 6 - a }$$

Baholash

$$\frac{36-7a}{6-a}$$

Qisqa yechim qadamlari

a\times \frac{1}{6-a} ni yagona kasrga aylantiring.

$$6-\frac{a}{6-a}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 6 ni \frac{6-a}{6-a} marotabaga ko'paytirish.

$$\frac{6\left(6-a\right)}{6-a}-\frac{a}{6-a}$$

\frac{6\left(6-a\right)}{6-a} va \frac{a}{6-a} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{6\left(6-a\right)-a}{6-a}$$

6\left(6-a\right)-a ichidagi ko‘paytirishlarni bajaring.

$$\frac{36-6a-a}{6-a}$$

36-6a-a kabi iboralarga o‘xshab birlashtiring.

$$\frac{36-7a}{6-a}$$

a ga nisbatan hosilani topish

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

Koeffitsient uchun derivativ qoidasidan foydalanish qadamlari

a\times \frac{1}{6-a} ni yagona kasrga aylantiring.

$$\frac{\mathrm{d}}{\mathrm{d}a}(6-\frac{a}{6-a})$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 6 ni \frac{6-a}{6-a} marotabaga ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{6\left(6-a\right)}{6-a}-\frac{a}{6-a})$$

\frac{6\left(6-a\right)}{6-a} va \frac{a}{6-a} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{6\left(6-a\right)-a}{6-a})$$

6\left(6-a\right)-a ichidagi ko‘paytirishlarni bajaring.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{36-6a-a}{6-a})$$

36-6a-a kabi iboralarga o‘xshab birlashtiring.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{36-7a}{6-a})$$

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

$$\frac{\left(-a^{1}+6\right)\frac{\mathrm{d}}{\mathrm{d}a}(-7a^{1}+36)-\left(-7a^{1}+36\right)\frac{\mathrm{d}}{\mathrm{d}a}(-a^{1}+6)}{\left(-a^{1}+6\right)^{2}}$$

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

$$\frac{\left(-a^{1}+6\right)\left(-7\right)a^{1-1}-\left(-7a^{1}+36\right)\left(-1\right)a^{1-1}}{\left(-a^{1}+6\right)^{2}}$$

Arifmetik hisobni amalga oshirish.

$$\frac{\left(-a^{1}+6\right)\left(-7\right)a^{0}-\left(-7a^{1}+36\right)\left(-1\right)a^{0}}{\left(-a^{1}+6\right)^{2}}$$

Distributiv xususiyatdan foydalanib kengaytirish.

$$\frac{-a^{1}\left(-7\right)a^{0}+6\left(-7\right)a^{0}-\left(-7a^{1}\left(-1\right)a^{0}+36\left(-1\right)a^{0}\right)}{\left(-a^{1}+6\right)^{2}}$$

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

$$\frac{-\left(-7\right)a^{1}+6\left(-7\right)a^{0}-\left(-7\left(-1\right)a^{1}+36\left(-1\right)a^{0}\right)}{\left(-a^{1}+6\right)^{2}}$$

Arifmetik hisobni amalga oshirish.

$$\frac{7a^{1}-42a^{0}-\left(7a^{1}-36a^{0}\right)}{\left(-a^{1}+6\right)^{2}}$$

Keraksiz qavslarni olib tashlash.

$$\frac{7a^{1}-42a^{0}-7a^{1}-\left(-36a^{0}\right)}{\left(-a^{1}+6\right)^{2}}$$

O'xshash hadlarni birlashtirish.

$$\frac{\left(7-7\right)a^{1}+\left(-42-\left(-36\right)\right)a^{0}}{\left(-a^{1}+6\right)^{2}}$$

7 dan 7 ni va -42 dan -36 ni ayiring.

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

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

$$\frac{-6a^{0}}{\left(-a+6\right)^{2}}$$

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

$$\frac{-6}{\left(-a+6\right)^{2}}$$