60x^2y^3/12xy eching

$$\frac { 60 x ^ { 2 } y ^ { 3 } } { 12 x y }$$

Baholash

$$5xy^{2}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{60^{1}x^{2}y^{3}}{12^{1}x^{1}y^{1}}$$

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

$$\frac{60^{1}}{12^{1}}x^{2-1}y^{3-1}$$

2 dan 1 ni ayirish.

$$\frac{60^{1}}{12^{1}}x^{1}y^{3-1}$$

3 dan 1 ni ayirish.

$$\frac{60^{1}}{12^{1}}xy^{2}$$

60 ni 12 ga bo'lish.

$$5xy^{2}$$

x ga nisbatan hosilani topish

$$5y^{2}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{60y^{3}}{12y}x^{2-1})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5y^{2}x^{1})$$

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

$$5y^{2}x^{1-1}$$

Arifmetik hisobni amalga oshirish.

$$5y^{2}x^{0}$$

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

$$5y^{2}\times 1$$

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

$$5y^{2}$$