2x^3y^2*4x^3/y^2 eching

$$\frac { 2 x ^ { 3 } y ^ { 2 } \cdot 4 x ^ { 3 } } { y ^ { 2 } }$$

Baholash

$$8x^{6}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 3 ni qo‘shib, 6 ni oling.

$$\frac{2x^{6}y^{2}\times 4}{y^{2}}$$

Surat va maxrajdagi ikkala y^{2} ni qisqartiring.

$$2\times 4x^{6}$$

8 hosil qilish uchun 2 va 4 ni ko'paytirish.

$$8x^{6}$$

x ga nisbatan hosilani topish

$$48x^{5}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 3 ni qo‘shib, 6 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2x^{6}y^{2}\times 4}{y^{2}})$$

Surat va maxrajdagi ikkala y^{2} ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2\times 4x^{6})$$

8 hosil qilish uchun 2 va 4 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(8x^{6})$$

ax^{n} hosilasi – nax^{n-1}.

$$6\times 8x^{6-1}$$

6 ni 8 marotabaga ko'paytirish.

$$48x^{6-1}$$

6 dan 1 ni ayirish.

$$48x^{5}$$