x^3y^2divx^3y eching

$$x ^ { 3 } y ^ { 2 } \div x ^ { 3 } y$$

Baholash

$$y^{3}$$

Yechim qadamlari

Surat va maxrajdagi ikkala x^{3} ni qisqartiring.

$$y^{2}y$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$y^{3}$$

y ga nisbatan hosilani topish

$$3y^{2}$$

Derivativ ifodasidan foydalanish qadamlari

Surat va maxrajdagi ikkala x^{3} ni qisqartiring.

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

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

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

ax^{n} hosilasi – nax^{n-1}.

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

3 dan 1 ni ayirish.

$$3y^{2}$$