2/5x*15/2 eching

$$\frac { 2 } { 5 } x \times \frac { 15 } { 2 }$$

Baholash

$$3x$$

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{5} ni \frac{15}{2} ga ko‘paytiring.

$$\frac{2\times 15}{5\times 2}x$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{15}{5}x$$

3 ni olish uchun 15 ni 5 ga bo‘ling.

$$3x$$

x ga nisbatan hosilani topish

$$3$$

Derivativ ifodasidan foydalanish qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{5} ni \frac{15}{2} ga ko‘paytiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2\times 15}{5\times 2}x)$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{15}{5}x)$$

3 ni olish uchun 15 ni 5 ga bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x)$$

ax^{n} hosilasi – nax^{n-1}.

$$3x^{1-1}$$

1 dan 1 ni ayirish.

$$3x^{0}$$

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

$$3\times 1$$

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

$$3$$