4x^3y/2x^2y= eching

$$\frac { 4 x ^ { 3 } y } { 2 x ^ { 2 } y } =$$

Baholash

$$2x$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{4^{1}x^{3}y^{1}}{2^{1}x^{2}y^{1}}$$

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

$$\frac{4^{1}}{2^{1}}x^{3-2}y^{1-1}$$

3 dan 2 ni ayirish.

$$\frac{4^{1}}{2^{1}}x^{1}y^{1-1}$$

1 dan 1 ni ayirish.

$$\frac{4^{1}}{2^{1}}xy^{0}$$

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

$$\frac{4^{1}}{2^{1}}x$$

4 ni 2 ga bo'lish.

$$2x$$

x ga nisbatan hosilani topish

$$2$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4y}{2y}x^{3-2})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{1})$$

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

$$2x^{1-1}$$

Arifmetik hisobni amalga oshirish.

$$2x^{0}$$

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

$$2\times 1$$

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

$$2$$