54/(frac{4{x}+5)-5} eching

$$5 \frac { 4 } { ( \frac { 4 } { x } + 5 ) - 5 }$$

Baholash

$$5x$$

Yechim qadamlari

0 olish uchun 5 dan 5 ni ayirish.

$$5\times \frac{4}{\frac{4}{x}}$$

4 ni \frac{4}{x} ga bo'lish 4 ga k'paytirish \frac{4}{x} ga qaytarish.

$$5\times \frac{4x}{4}$$

4 va 4 ni qisqartiring.

$$5x$$

x ga nisbatan hosilani topish

$$5$$

Derivativ ifodasidan foydalanish qadamlari

0 olish uchun 5 dan 5 ni ayirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5\times \frac{4}{\frac{4}{x}})$$

4 ni \frac{4}{x} ga bo'lish 4 ga k'paytirish \frac{4}{x} ga qaytarish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5\times \frac{4x}{4})$$

4 va 4 ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x)$$

ax^{n} hosilasi – nax^{n-1}.

$$5x^{1-1}$$

1 dan 1 ni ayirish.

$$5x^{0}$$

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

$$5\times 1$$

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

$$5$$