(8a^{2}b^{3}c^2)div(4a^4b^3c^2) eching

$$( 8 a ^ { 2 } b ^ { 3 } c ^ { 2 } ) \div ( 4 a ^ { 4 } b ^ { 3 } c ^ { 2 } )$$

a ga nisbatan hosilani topish

$$-\frac{4}{a^{3}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{8c^{2}b^{3}}{4c^{2}b^{3}}a^{2-4})$$

Arifmetik hisobni amalga oshirish.

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

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

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

Arifmetik hisobni amalga oshirish.

$$-4a^{-3}$$

Baholash

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

Yechim qadamlari

Surat va maxrajdagi ikkala 4a^{2}c^{2}b^{3} ni qisqartiring.

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