2/x-1-1 eching

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

Baholash

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

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{x-1}{x-1} marotabaga ko'paytirish.

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

\frac{2}{x-1} va \frac{x-1}{x-1} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

2-\left(x-1\right) ichidagi ko‘paytirishlarni bajaring.

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

2-x+1 kabi iboralarga o‘xshab birlashtiring.

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

x ga nisbatan hosilani topish

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

Koeffitsient uchun derivativ qoidasidan foydalanish qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{x-1}{x-1} marotabaga ko'paytirish.

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

\frac{2}{x-1} va \frac{x-1}{x-1} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

2-\left(x-1\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2-x+1}{x-1})$$

2-x+1 kabi iboralarga o‘xshab birlashtiring.

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

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

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

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

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

Arifmetik hisobni amalga oshirish.

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

Distributiv xususiyatdan foydalanib kengaytirish.

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

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

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

Arifmetik hisobni amalga oshirish.

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

Keraksiz qavslarni olib tashlash.

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

O'xshash hadlarni birlashtirish.

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

-1 dan -1 ni va 1 dan 3 ni ayiring.

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

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

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

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

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