1/4*314*48^2x eching

$$\frac { 1 } { 4 } \times 314 \times 48 ^ { 2 } x$$

Baholash

$$180864x$$

Yechim qadamlari

\frac{314}{4} hosil qilish uchun \frac{1}{4} va 314 ni ko'paytirish.

$$\frac{314}{4}\times 48^{2}x$$

\frac{314}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{157}{2}\times 48^{2}x$$

2 daraja ko‘rsatkichini 48 ga hisoblang va 2304 ni qiymatni oling.

$$\frac{157}{2}\times 2304x$$

\frac{157}{2}\times 2304 ni yagona kasrga aylantiring.

$$\frac{157\times 2304}{2}x$$

361728 hosil qilish uchun 157 va 2304 ni ko'paytirish.

$$\frac{361728}{2}x$$

180864 ni olish uchun 361728 ni 2 ga bo‘ling.

$$180864x$$

x ga nisbatan hosilani topish

$$180864$$

Derivativ ifodasidan foydalanish qadamlari

\frac{314}{4} hosil qilish uchun \frac{1}{4} va 314 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{314}{4}\times 48^{2}x)$$

\frac{314}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{157}{2}\times 48^{2}x)$$

2 daraja ko‘rsatkichini 48 ga hisoblang va 2304 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{157}{2}\times 2304x)$$

\frac{157}{2}\times 2304 ni yagona kasrga aylantiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{157\times 2304}{2}x)$$

361728 hosil qilish uchun 157 va 2304 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{361728}{2}x)$$

180864 ni olish uchun 361728 ni 2 ga bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(180864x)$$

ax^{n} hosilasi – nax^{n-1}.

$$180864x^{1-1}$$

1 dan 1 ni ayirish.

$$180864x^{0}$$

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

$$180864\times 1$$

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

$$180864$$