d/dxleft(2/x^2-2/xright) eching

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

Baholash

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

Koeffitsient uchun derivativ qoidasidan foydalanish qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x^{2} va x ning eng kichik umumiy karralisi x^{2}. \frac{2}{x} ni \frac{x}{x} marotabaga ko'paytirish.

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

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

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

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

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

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

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

Arifmetik hisobni amalga oshirish.

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

Distributiv xususiyatdan foydalanib kengaytirish.

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

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

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

Arifmetik hisobni amalga oshirish.

$$\frac{-2x^{2}-\left(-4x^{2}+4x^{1}\right)}{\left(x^{2}\right)^{2}}$$

Keraksiz qavslarni olib tashlash.

$$\frac{-2x^{2}-\left(-4x^{2}\right)-4x^{1}}{\left(x^{2}\right)^{2}}$$

O'xshash hadlarni birlashtirish.

$$\frac{\left(-2-\left(-4\right)\right)x^{2}-4x^{1}}{\left(x^{2}\right)^{2}}$$

-2 dan -4 ni ayirish.

$$\frac{2x^{2}-4x^{1}}{\left(x^{2}\right)^{2}}$$

2x omili.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring.

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

2 ni 2 marotabaga ko'paytirish.

$$\frac{2x\left(x^{1}-2x^{0}\right)}{x^{4}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\frac{2\left(x^{1}-2x^{0}\right)}{x^{4-1}}$$

4 dan 1 ni ayirish.

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

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

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

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

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

Har qanday t sharti uchun t\times 1=t va 1t=t.

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

x ga nisbatan hosilani topish

$$\frac{4\left(3-x\right)}{x^{4}}$$