y/x^2divy/2x eching

$$\frac { y } { x ^ { 2 } } \div \frac { y } { 2 x }$$

Baholash

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

Yechim qadamlari

\frac{y}{x^{2}} ni \frac{y}{2x} ga bo'lish \frac{y}{x^{2}} ga k'paytirish \frac{y}{2x} ga qaytarish.

$$\frac{y\times 2x}{x^{2}y}$$

Surat va maxrajdagi ikkala xy ni qisqartiring.

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

x ga nisbatan hosilani topish

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

Derivativ ifodasidan foydalanish qadamlari

\frac{y}{x^{2}} ni \frac{y}{2x} ga bo'lish \frac{y}{x^{2}} ga k'paytirish \frac{y}{2x} ga qaytarish.

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

Surat va maxrajdagi ikkala xy ni qisqartiring.

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

ax^{n} hosilasi – nax^{n-1}.

$$-2x^{-1-1}$$

-1 dan 1 ni ayirish.

$$-2x^{-2}$$