14t^242t^3 eching

$$14 t ^ { 2 } 42 t ^ { 3 }$$

Baholash

$$588t^{5}$$

Yechim qadamlari

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

$$14t^{5}\times 42$$

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

$$588t^{5}$$

t ga nisbatan hosilani topish

$$2940t^{4}$$

Derivativ ifodasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}t}(14t^{5}\times 42)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}t}(588t^{5})$$

ax^{n} hosilasi – nax^{n-1}.

$$5\times 588t^{5-1}$$

5 ni 588 marotabaga ko'paytirish.

$$2940t^{5-1}$$

5 dan 1 ni ayirish.

$$2940t^{4}$$