3/2(frac{3{2x})} eching

$$\frac { 3 } { 2 ( \frac { 3 } { 2 x } ) }$$

Baholash

$$x$$

Yechim qadamlari

2\times \frac{3}{2x} ni yagona kasrga aylantiring.

$$\frac{3}{\frac{2\times 3}{2x}}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{3}{\frac{3}{x}}$$

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

$$\frac{3x}{3}$$

3 va 3 ni qisqartiring.

$$x$$

x ga nisbatan hosilani topish

$$1$$

Derivativ ifodasidan foydalanish qadamlari

2\times \frac{3}{2x} ni yagona kasrga aylantiring.

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

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3}{\frac{3}{x}})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3x}{3})$$

3 va 3 ni qisqartiring.

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

ax^{n} hosilasi – nax^{n-1}.

$$x^{1-1}$$

1 dan 1 ni ayirish.

$$x^{0}$$

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

$$1$$