-5w^4(-2w^3) eching

$$- 5 w ^ { 4 } ( - 2 w ^ { 3 } )$$

Baholash

$$10w^{7}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 3 ni qo‘shib, 7 ni oling.

$$-5w^{7}\left(-2\right)$$

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

$$10w^{7}$$

w ga nisbatan hosilani topish

$$70w^{6}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 3 ni qo‘shib, 7 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}w}(-5w^{7}\left(-2\right))$$

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

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

ax^{n} hosilasi – nax^{n-1}.

$$7\times 10w^{7-1}$$

7 ni 10 marotabaga ko'paytirish.

$$70w^{7-1}$$

7 dan 1 ni ayirish.

$$70w^{6}$$