=x/24*4/14 eching

$$= \frac { x } { 24 } \cdot \frac { 4 } { 14 }$$

Baholash

$$\frac{x}{84}$$

Yechim qadamlari

\frac{4}{14} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{x}{24}\times \frac{2}{7}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{x}{24} ni \frac{2}{7} ga ko‘paytiring.

$$\frac{x\times 2}{24\times 7}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{x}{7\times 12}$$

84 hosil qilish uchun 7 va 12 ni ko'paytirish.

$$\frac{x}{84}$$

x ga nisbatan hosilani topish

$$\frac{1}{84} = 0,011904761904761904$$

Derivativ ifodasidan foydalanish qadamlari

\frac{4}{14} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{24}\times \frac{2}{7})$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{x}{24} ni \frac{2}{7} ga ko‘paytiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x\times 2}{24\times 7})$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{7\times 12})$$

84 hosil qilish uchun 7 va 12 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{84})$$

ax^{n} hosilasi – nax^{n-1}.

$$\frac{1}{84}x^{1-1}$$

1 dan 1 ni ayirish.

$$\frac{1}{84}x^{0}$$

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

$$\frac{1}{84}\times 1$$

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

$$\frac{1}{84}$$