18s^3t^3/24s^2t= eching

$$\frac { 18 s ^ { 3 } t ^ { 3 } } { 24 s ^ { 2 } t } =$$

Baholash

$$\frac{3st^{2}}{4}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{18^{1}s^{3}t^{3}}{24^{1}s^{2}t^{1}}$$

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

$$\frac{18^{1}}{24^{1}}s^{3-2}t^{3-1}$$

3 dan 2 ni ayirish.

$$\frac{18^{1}}{24^{1}}s^{1}t^{3-1}$$

3 dan 1 ni ayirish.

$$\frac{18^{1}}{24^{1}}st^{2}$$

\frac{18}{24} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{4}st^{2}$$

s ga nisbatan hosilani topish

$$\frac{3t^{2}}{4}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}s}(\frac{18t^{3}}{24t}s^{3-2})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}s}(\frac{3t^{2}}{4}s^{1})$$

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

$$\frac{3t^{2}}{4}s^{1-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{3t^{2}}{4}s^{0}$$

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

$$\frac{3t^{2}}{4}\times 1$$

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$\frac{3t^{2}}{4}$$