frac{a^frac{22{12}}}{a^frac{7{6}}} eching

$$\frac { a ^ { \frac { 22 } { 12 } } } { a ^ { \frac { 7 } { 6 } } }$$

Baholash

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

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{a^{\frac{11}{6}}}{a^{\frac{7}{6}}}$$

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

$$a^{\frac{11}{6}-\frac{7}{6}}$$

Umumiy maxrajni topib va suratlarni ayirib \frac{7}{6} ni \frac{11}{6} dan ayirish. So'ngra imkoni boricha kasrni eng kichik shartga qisqartirish.

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

a ga nisbatan hosilani topish

$$\frac{2}{3\sqrt[3]{a}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{1}{1}a^{\frac{11}{6}-\frac{7}{6}})$$

Arifmetik hisobni amalga oshirish.

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

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

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

Arifmetik hisobni amalga oshirish.

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