69x^2*98x^2 eching

$$69 { x }^{ 2 } \times 98 { x }^{ 2 }$$

Baholash

$$6762x^{4}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 2 ni qo‘shib, 4 ni oling.

$$69x^{4}\times 98$$

6762 hosil qilish uchun 69 va 98 ni ko'paytirish.

$$6762x^{4}$$

x ga nisbatan hosilani topish

$$27048x^{3}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 2 ni qo‘shib, 4 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(69x^{4}\times 98)$$

6762 hosil qilish uchun 69 va 98 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6762x^{4})$$

ax^{n} hosilasi – nax^{n-1}.

$$4\times 6762x^{4-1}$$

4 ni 6762 marotabaga ko'paytirish.

$$27048x^{4-1}$$

4 dan 1 ni ayirish.

$$27048x^{3}$$