b^2divb eching

$$b ^ { 2 } \div b$$

Baholash

$$b$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{b^{2}}{b^{1}}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$b^{2-1}$$

2 dan 1 ni ayirish.

$$b^{1}$$

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

$$b$$

b ga nisbatan hosilani topish

$$1$$

Koʻpaytma uchun derivativ qoidasidan foydalanish qadamlari

Har qanday ikki differensial funksiya uchun, ikki funksiya koʻpaytmasining hosilasi birinchi funksiya marotabasi, ikkinchi plyus hosilasi ikkinchi funksiya marotabasi birinchining hosilasidir.

$$b^{2}\frac{\mathrm{d}}{\mathrm{d}b}(\frac{1}{b})+\frac{1}{b}\frac{\mathrm{d}}{\mathrm{d}b}(b^{2})$$

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

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

Qisqartirish.

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

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

$$-b^{2-2}+2b^{-1+1}$$

Qisqartirish.

$$-b^{0}+2b^{0}$$

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

$$-1+2\times 1$$

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

$$-1+2$$

Yechim qadamlari

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{1}{1}b^{2-1})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}b}(b^{1})$$

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

$$b^{1-1}$$

Arifmetik hisobni amalga oshirish.

$$b^{0}$$

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

$$1$$