4a^frac{2{3}}*b^-frac{3{3}}div(-2/3a^-frac{2{3}}b^frac{3{3}}) eching

$$4 a ^ { \frac { 2 } { 3 } } \cdot b ^ { - \frac { 3 } { 3 } } \div ( - \frac { 2 } { 3 } a ^ { - \frac { 2 } { 3 } } b ^ { \frac { 3 } { 3 } } )$$

Baholash

$$-\frac{6a^{\frac{4}{3}}}{b^{2}}$$

Yechim qadamlari

1 ni olish uchun 3 ni 3 ga bo‘ling.

$$\frac{4a^{\frac{2}{3}}b^{-1}}{-\frac{2}{3}a^{-\frac{2}{3}}b^{\frac{3}{3}}}$$

1 ni olish uchun 3 ni 3 ga bo‘ling.

$$\frac{4a^{\frac{2}{3}}b^{-1}}{-\frac{2}{3}a^{-\frac{2}{3}}b^{1}}$$

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

$$\frac{4b^{-1}a^{\frac{4}{3}}}{-\frac{2}{3}b^{1}}$$

1 daraja ko‘rsatkichini b ga hisoblang va b ni qiymatni oling.

$$\frac{4b^{-1}a^{\frac{4}{3}}}{-\frac{2}{3}b}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\frac{4a^{\frac{4}{3}}}{-\frac{2}{3}b^{2}}$$

a ga nisbatan hosilani topish

$$-\frac{8\sqrt[3]{a}}{b^{2}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{4}{b\left(-\frac{2b^{1}}{3}\right)}a^{\frac{2}{3}-\left(-\frac{2}{3}\right)})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\left(-\frac{6}{b^{2}}\right)a^{\frac{4}{3}})$$

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

$$\frac{4}{3}\left(-\frac{6}{b^{2}}\right)a^{\frac{4}{3}-1}$$

Arifmetik hisobni amalga oshirish.

$$\left(-\frac{8}{b^{2}}\right)\sqrt[3]{a}$$