x^{0}*(x^2)^3div(x^2*x^1/2) eching

$$x ^ { 0 } \times ( x ^ { 2 } ) ^ { 3 } \div ( x ^ { 2 } \times x ^ { 1 / 2 } )$$

x ga nisbatan hosilani topish

$$\frac{7x^{\frac{5}{2}}}{2}$$

Derivativ ifodasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{0}x^{6}}{x^{2}x^{\frac{1}{2}}})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 0 va 6 ni qo‘shib, 6 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{6}}{x^{2}x^{\frac{1}{2}}})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va \frac{1}{2} ni qo‘shib, \frac{5}{2} ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{6}}{x^{\frac{5}{2}}})$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 6 dan \frac{5}{2} ni ayirib, \frac{7}{2} ni oling.

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

ax^{n} hosilasi – nax^{n-1}.

$$\frac{7}{2}x^{\frac{7}{2}-1}$$

\frac{7}{2} dan 1 ni ayirish.

$$\frac{7}{2}x^{\frac{5}{2}}$$

Baholash

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