56s^2t^3/4s^2t= eching

$$\frac { 56 s ^ { 2 } t ^ { 3 } } { 4 s ^ { 2 } t } =$$

Baholash

$$14t^{2}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{56^{1}s^{2}t^{3}}{4^{1}s^{2}t^{1}}$$

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

$$\frac{56^{1}}{4^{1}}s^{2-2}t^{3-1}$$

2 dan 2 ni ayirish.

$$\frac{56^{1}}{4^{1}}s^{0}t^{3-1}$$

Har qanday a raqami uchun (0 bundan mustasno) a^{0}=1.

$$\frac{56^{1}}{4^{1}}t^{3-1}$$

3 dan 1 ni ayirish.

$$\frac{56^{1}}{4^{1}}t^{2}$$

56 ni 4 ga bo'lish.

$$14t^{2}$$

t ga nisbatan hosilani topish

$$28t$$

Derivativ ifodasidan foydalanish qadamlari

Surat va maxrajdagi ikkala 4ts^{2} ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}t}(14t^{2})$$

ax^{n} hosilasi – nax^{n-1}.

$$2\times 14t^{2-1}$$

2 ni 14 marotabaga ko'paytirish.

$$28t^{2-1}$$

2 dan 1 ni ayirish.

$$28t^{1}$$

Har qanday t sharti uchun t^{1}=t.

$$28t$$