3a^2diva eching

$$3 a ^ { 2 } \div a$$

a ga nisbatan hosilani topish

$$3$$

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.

$$3a^{2}\frac{\mathrm{d}}{\mathrm{d}a}(\frac{1}{a})+\frac{1}{a}\frac{\mathrm{d}}{\mathrm{d}a}(3a^{2})$$

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

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

Qisqartirish.

$$3a^{2}\left(-1\right)a^{-2}+\frac{1}{a}\times 6a^{1}$$

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

$$-3a^{2-2}+6a^{-1+1}$$

Qisqartirish.

$$-3a^{0}+6a^{0}$$

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

$$-3+6\times 1$$

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

$$-3+6$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{3}{1}a^{2-1})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(3a^{1})$$

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

$$3a^{1-1}$$

Arifmetik hisobni amalga oshirish.

$$3a^{0}$$

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

$$3\times 1$$

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

$$3$$

Baholash

$$3a$$

Yechim qadamlari

Surat va maxrajdagi ikkala a ni qisqartiring.

$$3a$$