15x^4y^2/3xy eching

$$\frac { 15 x ^ { 4 } y ^ { 2 } } { 3 x y }$$

Baholash

$$5yx^{3}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{15^{1}x^{4}y^{2}}{3^{1}x^{1}y^{1}}$$

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

$$\frac{15^{1}}{3^{1}}x^{4-1}y^{2-1}$$

4 dan 1 ni ayirish.

$$\frac{15^{1}}{3^{1}}x^{3}y^{2-1}$$

2 dan 1 ni ayirish.

$$\frac{15^{1}}{3^{1}}x^{3}y^{1}$$

15 ni 3 ga bo'lish.

$$5x^{3}y$$

x ga nisbatan hosilani topish

$$15yx^{2}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{15y^{2}}{3y}x^{4-1})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5yx^{3})$$

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

$$3\times 5yx^{3-1}$$

Arifmetik hisobni amalga oshirish.

$$15yx^{2}$$