4a^3b^3/8a eching

$$\frac { 4 a ^ { 3 } b ^ { 3 } } { 8 a }$$

a ga nisbatan hosilani topish

$$ab^{3}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{4b^{3}}{8}a^{3-1})$$

Arifmetik hisobni amalga oshirish.

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

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

$$2\times \frac{b^{3}}{2}a^{2-1}$$

Arifmetik hisobni amalga oshirish.

$$b^{3}a^{1}$$

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

$$b^{3}a$$

Baholash

$$\frac{a^{2}b^{3}}{2}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 4a ni qisqartiring.

$$\frac{a^{2}b^{3}}{2}$$