1^2x^2/16^2/64*16 eching

$$\frac { 1 ^ { 2 } x ^ { 2 } / 16 ^ { 2 } } { 64 \times 16 }$$

Baholash

$$\frac{x^{2}}{262144}$$

Qisqa yechim qadamlari

2 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$\frac{\frac{1x^{2}}{16^{2}}}{64\times 16}$$

2 daraja ko‘rsatkichini 16 ga hisoblang va 256 ni qiymatni oling.

$$\frac{\frac{1x^{2}}{256}}{64\times 16}$$

1024 hosil qilish uchun 64 va 16 ni ko'paytirish.

$$\frac{\frac{1x^{2}}{256}}{1024}$$

\frac{\frac{1x^{2}}{256}}{1024} ni yagona kasrga aylantiring.

$$\frac{1x^{2}}{256\times 1024}$$

Surat va maxrajdagi ikkala 1 ni qisqartiring.

$$\frac{x^{2}}{256\times 1024}$$

262144 hosil qilish uchun 256 va 1024 ni ko'paytirish.

$$\frac{x^{2}}{262144}$$

x ga nisbatan hosilani topish

$$\frac{x}{131072}$$

Derivativ ifodasidan foydalanish qadamlari

2 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{1x^{2}}{16^{2}}}{64\times 16})$$

2 daraja ko‘rsatkichini 16 ga hisoblang va 256 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{1x^{2}}{256}}{64\times 16})$$

1024 hosil qilish uchun 64 va 16 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{1x^{2}}{256}}{1024})$$

\frac{\frac{1x^{2}}{256}}{1024} ni yagona kasrga aylantiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1x^{2}}{256\times 1024})$$

Surat va maxrajdagi ikkala 1 ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{2}}{256\times 1024})$$

262144 hosil qilish uchun 256 va 1024 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{2}}{262144})$$

ax^{n} hosilasi – nax^{n-1}.

$$2\times \frac{1}{262144}x^{2-1}$$

2 ni \frac{1}{262144} marotabaga ko'paytirish.

$$\frac{1}{131072}x^{2-1}$$

2 dan 1 ni ayirish.

$$\frac{1}{131072}x^{1}$$

Har qanday t sharti uchun t^{1}=t.

$$\frac{1}{131072}x$$