5x^6-2x^6*3x^6:(-2x^6)= eching

$$5 x ^ { 6 } - 2 x ^ { 6 } \cdot 3 x ^ { 6 } : ( - 2 x ^ { 6 } ) =$$

Baholash

$$8x^{6}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 6 ni qo‘shib, 12 ni oling.

$$5x^{6}-\frac{2x^{12}\times 3}{-2x^{6}}$$

Surat va maxrajdagi ikkala 2x^{6} ni qisqartiring.

$$5x^{6}-\frac{3x^{6}}{-1}$$

Istalgan sonni -1 ga boʻlsangiz, uning qarama-qarshisi chiqadi.

$$5x^{6}-\left(-3x^{6}\right)$$

-3x^{6} ning teskarisi 3x^{6} ga teng.

$$5x^{6}+3x^{6}$$

8x^{6} ni olish uchun 5x^{6} va 3x^{6} ni birlashtirish.

$$8x^{6}$$

x ga nisbatan hosilani topish

$$48x^{5}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 6 ni qo‘shib, 12 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{6}-\frac{2x^{12}\times 3}{-2x^{6}})$$

Surat va maxrajdagi ikkala 2x^{6} ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{6}-\frac{3x^{6}}{-1})$$

Istalgan sonni -1 ga boʻlsangiz, uning qarama-qarshisi chiqadi.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{6}-\left(-3x^{6}\right))$$

-3x^{6} ning teskarisi 3x^{6} ga teng.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{6}+3x^{6})$$

8x^{6} ni olish uchun 5x^{6} va 3x^{6} ni birlashtirish.

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

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.

$$48x^{5}$$