1/x+2-1 eching

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

Baholash

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

Qisqa yechim qadamlari

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

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

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

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

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

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

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

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

x ga nisbatan hosilani topish

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

Koeffitsient uchun derivativ qoidasidan foydalanish qadamlari

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

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

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

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

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

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

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

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

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

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

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

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

Arifmetik hisobni amalga oshirish.

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

Distributiv xususiyatdan foydalanib kengaytirish.

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

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

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

Arifmetik hisobni amalga oshirish.

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

Keraksiz qavslarni olib tashlash.

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

O'xshash hadlarni birlashtirish.

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

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

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

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

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

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

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