4a/3*18b/2a eching

$$\frac { 4 a } { 3 } \times \frac { 18 b } { 2 a }$$

Baholash

$$12b$$

Yechim qadamlari

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{4a}{3}\times \frac{9b}{a}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4a}{3} ni \frac{9b}{a} ga ko‘paytiring.

$$\frac{4a\times 9b}{3a}$$

Surat va maxrajdagi ikkala 3a ni qisqartiring.

$$3\times 4b$$

12 hosil qilish uchun 3 va 4 ni ko'paytirish.

$$12b$$

b ga nisbatan hosilani topish

$$12$$

Derivativ ifodasidan foydalanish qadamlari

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{4a}{3}\times \frac{9b}{a})$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4a}{3} ni \frac{9b}{a} ga ko‘paytiring.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{4a\times 9b}{3a})$$

Surat va maxrajdagi ikkala 3a ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}b}(3\times 4b)$$

12 hosil qilish uchun 3 va 4 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}b}(12b)$$

ax^{n} hosilasi – nax^{n-1}.

$$12b^{1-1}$$

1 dan 1 ni ayirish.

$$12b^{0}$$

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

$$12\times 1$$

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$12$$