(x^3y^-2)*(x^-3y^5) eching

$$( x ^ { 3 } y ^ { - 2 } ) \times ( x ^ { - 3 } y ^ { 5 } )$$

Baholash

$$y^{3}$$

Yechim qadamlari

1 hosil qilish uchun x^{3} va x^{-3} ni ko'paytirish.

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

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -2 va 5 ni qo‘shib, 3 ni oling.

$$y^{3}$$

y ga nisbatan hosilani topish

$$3y^{2}$$

Derivativ ifodasidan foydalanish qadamlari

1 hosil qilish uchun x^{3} va x^{-3} ni ko'paytirish.

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

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -2 va 5 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.

$$3y^{2}$$