15xy^5/5xy^2 eching

$$\frac { 15 x y ^ { 5 } } { 5 x y ^ { 2 } }$$

Baholash

$$3y^{3}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{15^{1}x^{1}y^{5}}{5^{1}x^{1}y^{2}}$$

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

$$\frac{15^{1}}{5^{1}}x^{1-1}y^{5-2}$$

1 dan 1 ni ayirish.

$$\frac{15^{1}}{5^{1}}x^{0}y^{5-2}$$

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

$$\frac{15^{1}}{5^{1}}y^{5-2}$$

5 dan 2 ni ayirish.

$$\frac{15^{1}}{5^{1}}y^{3}$$

15 ni 5 ga bo'lish.

$$3y^{3}$$

y ga nisbatan hosilani topish

$$9y^{2}$$

Derivativ ifodasidan foydalanish qadamlari

Surat va maxrajdagi ikkala 5xy^{2} ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}y}(3y^{3})$$

ax^{n} hosilasi – nax^{n-1}.

$$3\times 3y^{3-1}$$

3 ni 3 marotabaga ko'paytirish.

$$9y^{3-1}$$

3 dan 1 ni ayirish.

$$9y^{2}$$