4*27*x*4*27*4*27/4*27*4*27-1*4*27 eching

$$\frac { 4 \cdot 27 \cdot x \cdot 4 \cdot 27 \times 4 \cdot 27 } { 4 \cdot 27 \times 4 \cdot 27 - 1 \times 4 \cdot 27 }$$

Baholash

$$\frac{11664x}{107}$$

Yechim qadamlari

108 hosil qilish uchun 4 va 27 ni ko'paytirish.

$$\frac{108x\times 4\times 27\times 4\times 27}{4\times 27\times 4\times 27-1\times 4\times 27}$$

432 hosil qilish uchun 108 va 4 ni ko'paytirish.

$$\frac{432x\times 27\times 4\times 27}{4\times 27\times 4\times 27-1\times 4\times 27}$$

11664 hosil qilish uchun 432 va 27 ni ko'paytirish.

$$\frac{11664x\times 4\times 27}{4\times 27\times 4\times 27-1\times 4\times 27}$$

46656 hosil qilish uchun 11664 va 4 ni ko'paytirish.

$$\frac{46656x\times 27}{4\times 27\times 4\times 27-1\times 4\times 27}$$

1259712 hosil qilish uchun 46656 va 27 ni ko'paytirish.

$$\frac{1259712x}{4\times 27\times 4\times 27-1\times 4\times 27}$$

108 hosil qilish uchun 4 va 27 ni ko'paytirish.

$$\frac{1259712x}{108\times 4\times 27-1\times 4\times 27}$$

432 hosil qilish uchun 108 va 4 ni ko'paytirish.

$$\frac{1259712x}{432\times 27-1\times 4\times 27}$$

11664 hosil qilish uchun 432 va 27 ni ko'paytirish.

$$\frac{1259712x}{11664-1\times 4\times 27}$$

4 hosil qilish uchun 1 va 4 ni ko'paytirish.

$$\frac{1259712x}{11664-4\times 27}$$

108 hosil qilish uchun 4 va 27 ni ko'paytirish.

$$\frac{1259712x}{11664-108}$$

11556 olish uchun 11664 dan 108 ni ayirish.

$$\frac{1259712x}{11556}$$

\frac{11664}{107}x ni olish uchun 1259712x ni 11556 ga bo‘ling.

$$\frac{11664}{107}x$$

x ga nisbatan hosilani topish

$$\frac{11664}{107} = 109\frac{1}{107} = 109,00934579439253$$

Derivativ ifodasidan foydalanish qadamlari

108 hosil qilish uchun 4 va 27 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{108x\times 4\times 27\times 4\times 27}{4\times 27\times 4\times 27-1\times 4\times 27})$$

432 hosil qilish uchun 108 va 4 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{432x\times 27\times 4\times 27}{4\times 27\times 4\times 27-1\times 4\times 27})$$

11664 hosil qilish uchun 432 va 27 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{11664x\times 4\times 27}{4\times 27\times 4\times 27-1\times 4\times 27})$$

46656 hosil qilish uchun 11664 va 4 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{46656x\times 27}{4\times 27\times 4\times 27-1\times 4\times 27})$$

1259712 hosil qilish uchun 46656 va 27 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1259712x}{4\times 27\times 4\times 27-1\times 4\times 27})$$

108 hosil qilish uchun 4 va 27 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1259712x}{108\times 4\times 27-1\times 4\times 27})$$

432 hosil qilish uchun 108 va 4 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1259712x}{432\times 27-1\times 4\times 27})$$

11664 hosil qilish uchun 432 va 27 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1259712x}{11664-1\times 4\times 27})$$

4 hosil qilish uchun 1 va 4 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1259712x}{11664-4\times 27})$$

108 hosil qilish uchun 4 va 27 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1259712x}{11664-108})$$

11556 olish uchun 11664 dan 108 ni ayirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1259712x}{11556})$$

\frac{11664}{107}x ni olish uchun 1259712x ni 11556 ga bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{11664}{107}x)$$

ax^{n} hosilasi – nax^{n-1}.

$$\frac{11664}{107}x^{1-1}$$

1 dan 1 ni ayirish.

$$\frac{11664}{107}x^{0}$$

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

$$\frac{11664}{107}\times 1$$

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

$$\frac{11664}{107}$$