4a^5/8a^3*2a eching

$$\frac { 4 a ^ { 5 } } { 8 a ^ { 3 } \times 2 a }$$

Baholash

$$\frac{a}{4}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 1 ni qo‘shib, 4 ni oling.

$$\frac{4a^{5}}{8a^{4}\times 2}$$

Surat va maxrajdagi ikkala 4a^{4} ni qisqartiring.

$$\frac{a}{2\times 2}$$

4 hosil qilish uchun 2 va 2 ni ko'paytirish.

$$\frac{a}{4}$$

a ga nisbatan hosilani topish

$$\frac{1}{4} = 0,25$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{4}{16a}a^{5-3})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{1}{4a}a^{2})$$

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

$$2\times \frac{1}{4a}a^{2-1}$$

Arifmetik hisobni amalga oshirish.

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

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

$$\frac{1}{2a}a$$