(-5z^4)(-2z^7) eching

$$( - 5 z ^ { 4 } ) ( - 2 z ^ { 7 } )$$

Baholash

$$10z^{11}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 7 ni qo‘shib, 11 ni oling.

$$-5z^{11}\left(-2\right)$$

10 hosil qilish uchun -5 va -2 ni ko'paytirish.

$$10z^{11}$$

z ga nisbatan hosilani topish

$$110z^{10}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 7 ni qo‘shib, 11 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}z}(-5z^{11}\left(-2\right))$$

10 hosil qilish uchun -5 va -2 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}z}(10z^{11})$$

ax^{n} hosilasi – nax^{n-1}.

$$11\times 10z^{11-1}$$

11 ni 10 marotabaga ko'paytirish.

$$110z^{11-1}$$

11 dan 1 ni ayirish.

$$110z^{10}$$