a^frac{4{5}}diva^frac{1{5}} eching

$$a ^ { \frac { 4 } { 5 } } \div a ^ { \frac { 1 } { 5 } }$$

Baholash

$$a^{\frac{3}{5}}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{a^{\frac{4}{5}}}{\sqrt[5]{a}}$$

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

$$a^{\frac{4}{5}-\frac{1}{5}}$$

Umumiy maxrajni topib va suratlarni ayirib \frac{1}{5} ni \frac{4}{5} dan ayirish. So'ngra imkoni boricha kasrni eng kichik shartga qisqartirish.

$$a^{\frac{3}{5}}$$

a ga nisbatan hosilani topish

$$\frac{3}{5a^{\frac{2}{5}}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{1}{1}a^{\frac{4}{5}-\frac{1}{5}})$$

Arifmetik hisobni amalga oshirish.

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

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

$$\frac{3}{5}a^{\frac{3}{5}-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{3}{5}a^{-\frac{2}{5}}$$