(x^{2})^3div[(x^9divx^7)*x^2] eching

$$( x ^ { 2 } ) ^ { 3 } \div [ ( x ^ { 9 } \div x ^ { 7 } ) \cdot x ^ { 2 } ]$$

Baholash

$$x^{2}$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 3 ni ko‘paytirib, 6 ni oling.

$$\frac{x^{6}}{\frac{x^{9}}{x^{7}}x^{2}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 9 dan 7 ni ayirib, 2 ni oling.

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

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

$$\frac{x^{6}}{x^{4}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 6 dan 4 ni ayirib, 2 ni oling.

$$x^{2}$$

x ga nisbatan hosilani topish

$$2x$$

Derivativ ifodasidan foydalanish qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 3 ni ko‘paytirib, 6 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{6}}{\frac{x^{9}}{x^{7}}x^{2}})$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 9 dan 7 ni ayirib, 2 ni oling.

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

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

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

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 6 dan 4 ni ayirib, 2 ni oling.

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

ax^{n} hosilasi – nax^{n-1}.

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

2 dan 1 ni ayirish.

$$2x^{1}$$

Har qanday t sharti uchun t^{1}=t.

$$2x$$