frac{u^frac{3{5}}}{u^frac{3{4}}} eching

$$\frac { u ^ { \frac { 3 } { 5 } } } { u ^ { \frac { 3 } { 4 } } }$$

Baholash

$$\frac{1}{u^{\frac{3}{20}}}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{u^{\frac{3}{5}}}{u^{\frac{3}{4}}}$$

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

$$u^{\frac{3}{5}-\frac{3}{4}}$$

Umumiy maxrajni topib va suratlarni ayirib \frac{3}{4} ni \frac{3}{5} dan ayirish. So'ngra imkoni boricha kasrni eng kichik shartga qisqartirish.

$$u^{-\frac{3}{20}}$$

u ga nisbatan hosilani topish

$$-\frac{3}{20u^{\frac{23}{20}}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}u}(\frac{1}{1}u^{\frac{3}{5}-\frac{3}{4}})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}u}(u^{-\frac{3}{20}})$$

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

$$-\frac{3}{20}u^{-\frac{3}{20}-1}$$

Arifmetik hisobni amalga oshirish.

$$-\frac{3}{20}u^{-\frac{23}{20}}$$