60x^3y^2/24xy eching

$$\frac { 60 x ^ { 3 } y ^ { 2 } } { 24 x y }$$

Baholash

$$\frac{5yx^{2}}{2}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{60^{1}x^{3}y^{2}}{24^{1}x^{1}y^{1}}$$

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

$$\frac{60^{1}}{24^{1}}x^{3-1}y^{2-1}$$

3 dan 1 ni ayirish.

$$\frac{60^{1}}{24^{1}}x^{2}y^{2-1}$$

2 dan 1 ni ayirish.

$$\frac{60^{1}}{24^{1}}x^{2}y^{1}$$

\frac{60}{24} ulushini 12 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{2}x^{2}y$$

x ga nisbatan hosilani topish

$$5xy$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{60y^{2}}{24y}x^{3-1})$$

Arifmetik hisobni amalga oshirish.

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

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

$$2\times \frac{5y}{2}x^{2-1}$$

Arifmetik hisobni amalga oshirish.

$$5yx^{1}$$

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

$$5yx$$