x^3/y^2divx/y^2 eching

$$\frac { x ^ { 3 } } { y ^ { 2 } } \div \frac { x } { y ^ { 2 } }$$

Baholash

$$x^{2}$$

Yechim qadamlari

\frac{x^{3}}{y^{2}} ni \frac{x}{y^{2}} ga bo'lish \frac{x^{3}}{y^{2}} ga k'paytirish \frac{x}{y^{2}} ga qaytarish.

$$\frac{x^{3}y^{2}}{y^{2}x}$$

Surat va maxrajdagi ikkala xy^{2} ni qisqartiring.

$$x^{2}$$

x ga nisbatan hosilani topish

$$2x$$

Derivativ ifodasidan foydalanish qadamlari

\frac{x^{3}}{y^{2}} ni \frac{x}{y^{2}} ga bo'lish \frac{x^{3}}{y^{2}} ga k'paytirish \frac{x}{y^{2}} ga qaytarish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{3}y^{2}}{y^{2}x})$$

Surat va maxrajdagi ikkala xy^{2} ni qisqartiring.

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

ax^{n} hosilasi – nax^{n-1}.

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

2 dan 1 ni ayirish.

$$2x^{1}$$

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

$$2x$$