14t^242t^5 eching

$$14 t ^ { 2 } 42 t ^ { 5 }$$

Baholash

$$588t^{7}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 5 ni qo‘shib, 7 ni oling.

$$14t^{7}\times 42$$

588 hosil qilish uchun 14 va 42 ni ko'paytirish.

$$588t^{7}$$

t ga nisbatan hosilani topish

$$4116t^{6}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 5 ni qo‘shib, 7 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}t}(14t^{7}\times 42)$$

588 hosil qilish uchun 14 va 42 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}t}(588t^{7})$$

ax^{n} hosilasi – nax^{n-1}.

$$7\times 588t^{7-1}$$

7 ni 588 marotabaga ko'paytirish.

$$4116t^{7-1}$$

7 dan 1 ni ayirish.

$$4116t^{6}$$