y^10y^0/y^7 eching

$$\frac{ { y }^{ 10 } { y }^{ 0 } }{ { y }^{ 7 } }$$

Baholash

$$y^{3}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 10 va 0 ni qo‘shib, 10 ni oling.

$$\frac{y^{10}}{y^{7}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 10 dan 7 ni ayirib, 3 ni oling.

$$y^{3}$$

y ga nisbatan hosilani topish

$$3y^{2}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 10 va 0 ni qo‘shib, 10 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{y^{10}}{y^{7}})$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 10 dan 7 ni ayirib, 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.

$$3y^{2}$$