11w^12z^5/22w^3z^3 eching

$$\frac { 11 w ^ { 12 } z ^ { 5 } } { 22 w ^ { 3 } z ^ { 3 } }$$

Baholash

$$\frac{z^{2}w^{9}}{2}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{11^{1}w^{12}z^{5}}{22^{1}w^{3}z^{3}}$$

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

$$\frac{11^{1}}{22^{1}}w^{12-3}z^{5-3}$$

12 dan 3 ni ayirish.

$$\frac{11^{1}}{22^{1}}w^{9}z^{5-3}$$

5 dan 3 ni ayirish.

$$\frac{11^{1}}{22^{1}}w^{9}z^{2}$$

\frac{11}{22} ulushini 11 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{2}w^{9}z^{2}$$

w ga nisbatan hosilani topish

$$\frac{9z^{2}w^{8}}{2}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}w}(\frac{11z^{5}}{22z^{3}}w^{12-3})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}w}(\frac{z^{2}}{2}w^{9})$$

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

$$9\times \frac{z^{2}}{2}w^{9-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{9z^{2}}{2}w^{8}$$