a/2:a/5:a/6 eching

$$\frac { a } { 2 } : \frac { a } { 5 } : \frac { a } { 6 }$$

Baholash

$$\frac{15}{a}$$

Yechim qadamlari

\frac{\frac{a}{2}}{\frac{a}{5}} ni \frac{a}{6} ga bo'lish \frac{\frac{a}{2}}{\frac{a}{5}} ga k'paytirish \frac{a}{6} ga qaytarish.

$$\frac{\frac{a}{2}\times 6}{\frac{a}{5}a}$$

6 va 2 ichida eng katta umumiy 2 faktorini bekor qiling.

$$\frac{3a}{\frac{a}{5}a}$$

\frac{a}{5}a ni yagona kasrga aylantiring.

$$\frac{3a}{\frac{aa}{5}}$$

3a ni \frac{aa}{5} ga bo'lish 3a ga k'paytirish \frac{aa}{5} ga qaytarish.

$$\frac{3a\times 5}{aa}$$

Surat va maxrajdagi ikkala a ni qisqartiring.

$$\frac{3\times 5}{a}$$

15 hosil qilish uchun 3 va 5 ni ko'paytirish.

$$\frac{15}{a}$$

a ga nisbatan hosilani topish

$$-\frac{15}{a^{2}}$$

Derivativ ifodasidan foydalanish qadamlari

\frac{\frac{a}{2}}{\frac{a}{5}} ni \frac{a}{6} ga bo'lish \frac{\frac{a}{2}}{\frac{a}{5}} ga k'paytirish \frac{a}{6} ga qaytarish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{\frac{a}{2}\times 6}{\frac{a}{5}a})$$

6 va 2 ichida eng katta umumiy 2 faktorini bekor qiling.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{3a}{\frac{a}{5}a})$$

\frac{a}{5}a ni yagona kasrga aylantiring.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{3a}{\frac{aa}{5}})$$

3a ni \frac{aa}{5} ga bo'lish 3a ga k'paytirish \frac{aa}{5} ga qaytarish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{3a\times 5}{aa})$$

Surat va maxrajdagi ikkala a ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{3\times 5}{a})$$

15 hosil qilish uchun 3 va 5 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{15}{a})$$

ax^{n} hosilasi – nax^{n-1}.

$$-15a^{-1-1}$$

-1 dan 1 ni ayirish.

$$-15a^{-2}$$