2x^3/(x^-1)^36/3 eching

$$\frac { 2 x ^ { 3 } } { ( x ^ { - 1 } ) ^ { 3 } } \frac { 6 } { 3 }$$

Baholash

$$4x^{6}$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -1 va 3 ni ko‘paytirib, -3 ni oling.

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

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$2x^{6}\times \frac{6}{3}$$

2 ni olish uchun 6 ni 3 ga bo‘ling.

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

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

$$4x^{6}$$

x ga nisbatan hosilani topish

$$24x^{5}$$

Derivativ ifodasidan foydalanish qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -1 va 3 ni ko‘paytirib, -3 ni oling.

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

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

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

2 ni olish uchun 6 ni 3 ga bo‘ling.

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

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

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

ax^{n} hosilasi – nax^{n-1}.

$$6\times 4x^{6-1}$$

6 ni 4 marotabaga ko'paytirish.

$$24x^{6-1}$$

6 dan 1 ni ayirish.

$$24x^{5}$$