(2div(2+x)-1)) eching

$$(2 \div (2+x)-1))$$

Baholash

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

Qisqa yechim qadamlari

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

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

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

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

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

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

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

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

x ga nisbatan hosilani topish

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

Koeffitsient uchun derivativ qoidasidan foydalanish qadamlari

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

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

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

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

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

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

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

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

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

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

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

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

Arifmetik hisobni amalga oshirish.

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

Distributiv xususiyatdan foydalanib kengaytirish.

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

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

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

Arifmetik hisobni amalga oshirish.

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

O'xshash hadlarni birlashtirish.

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

-1 dan -1 ni ayirish.

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

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

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

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

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