1/x-1+2= eching

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

Baholash

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

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2 ni \frac{x-1}{x-1} marotabaga ko'paytirish.

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

\frac{1}{x-1} va \frac{2\left(x-1\right)}{x-1} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

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

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

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

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

x ga nisbatan hosilani topish

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

Koeffitsient uchun derivativ qoidasidan foydalanish qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2 ni \frac{x-1}{x-1} marotabaga ko'paytirish.

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

\frac{1}{x-1} va \frac{2\left(x-1\right)}{x-1} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

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

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

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

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

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

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

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

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

Arifmetik hisobni amalga oshirish.

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

Distributiv xususiyatdan foydalanib kengaytirish.

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

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

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

Keraksiz qavslarni olib tashlash.

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

O'xshash hadlarni birlashtirish.

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

2 dan 2 ni va -2 dan -1 ni ayiring.

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

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

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

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

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