42x^2*3x^-4 eching

$$42 x ^ { 2 } \times 3 x ^ { - 4 }$$

Baholash

$$\frac{126}{x^{2}}$$

Yechim qadamlari

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

$$42x^{-2}\times 3$$

126 hosil qilish uchun 42 va 3 ni ko'paytirish.

$$126x^{-2}$$

x ga nisbatan hosilani topish

$$-\frac{252}{x^{3}}$$

Derivativ ifodasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(42x^{-2}\times 3)$$

126 hosil qilish uchun 42 va 3 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(126x^{-2})$$

ax^{n} hosilasi – nax^{n-1}.

$$-2\times 126x^{-2-1}$$

-2 ni 126 marotabaga ko'paytirish.

$$-252x^{-2-1}$$

-2 dan 1 ni ayirish.

$$-252x^{-3}$$