7r^2t^2/28rt eching

$$\frac { 7 r ^ { 2 } t ^ { 2 } } { 28 r t }$$

Baholash

$$\frac{rt}{4}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{7^{1}r^{2}t^{2}}{28^{1}r^{1}t^{1}}$$

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

$$\frac{7^{1}}{28^{1}}r^{2-1}t^{2-1}$$

2 dan 1 ni ayirish.

$$\frac{7^{1}}{28^{1}}r^{1}t^{2-1}$$

2 dan 1 ni ayirish.

$$\frac{7^{1}}{28^{1}}rt^{1}$$

\frac{7}{28} ulushini 7 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{4}rt$$

r ga nisbatan hosilani topish

$$\frac{t}{4}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{7t^{2}}{28t}r^{2-1})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{t}{4}r^{1})$$

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

$$\frac{t}{4}r^{1-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{t}{4}r^{0}$$

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

$$\frac{t}{4}\times 1$$

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

$$\frac{t}{4}$$