1/x-3+2 eching

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

Baholash

$$\frac{2x-5}{x-3}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2 ni \frac{x-3}{x-3} marotabaga ko'paytirish.

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

\frac{1}{x-3} va \frac{2\left(x-3\right)}{x-3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

1+2\left(x-3\right) ichidagi ko‘paytirishlarni bajaring.

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

1+2x-6 kabi iboralarga o‘xshab birlashtiring.

$$\frac{-5+2x}{x-3}$$

x ga nisbatan hosilani topish

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

Koeffitsient uchun derivativ qoidasidan foydalanish qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2 ni \frac{x-3}{x-3} marotabaga ko'paytirish.

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

\frac{1}{x-3} va \frac{2\left(x-3\right)}{x-3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

1+2\left(x-3\right) ichidagi ko‘paytirishlarni bajaring.

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

1+2x-6 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{-5+2x}{x-3})$$

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

$$\frac{\left(x^{1}-3\right)\frac{\mathrm{d}}{\mathrm{d}x}(2x^{1}-5)-\left(2x^{1}-5\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}-3)}{\left(x^{1}-3\right)^{2}}$$

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

$$\frac{\left(x^{1}-3\right)\times 2x^{1-1}-\left(2x^{1}-5\right)x^{1-1}}{\left(x^{1}-3\right)^{2}}$$

Arifmetik hisobni amalga oshirish.

$$\frac{\left(x^{1}-3\right)\times 2x^{0}-\left(2x^{1}-5\right)x^{0}}{\left(x^{1}-3\right)^{2}}$$

Distributiv xususiyatdan foydalanib kengaytirish.

$$\frac{x^{1}\times 2x^{0}-3\times 2x^{0}-\left(2x^{1}x^{0}-5x^{0}\right)}{\left(x^{1}-3\right)^{2}}$$

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

$$\frac{2x^{1}-3\times 2x^{0}-\left(2x^{1}-5x^{0}\right)}{\left(x^{1}-3\right)^{2}}$$

Arifmetik hisobni amalga oshirish.

$$\frac{2x^{1}-6x^{0}-\left(2x^{1}-5x^{0}\right)}{\left(x^{1}-3\right)^{2}}$$

Keraksiz qavslarni olib tashlash.

$$\frac{2x^{1}-6x^{0}-2x^{1}-\left(-5x^{0}\right)}{\left(x^{1}-3\right)^{2}}$$

O'xshash hadlarni birlashtirish.

$$\frac{\left(2-2\right)x^{1}+\left(-6-\left(-5\right)\right)x^{0}}{\left(x^{1}-3\right)^{2}}$$

2 dan 2 ni va -6 dan -5 ni ayiring.

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

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

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

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

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