=(330ton)(1000kg/1ton)/(160g)(frac{1kg{1000g})}xfrac{50text{pieces}}{1text{box}} eching

$$= \frac { ( 330 ton ) ( \frac { 1000 kg } { 1 ton } ) } { ( 160 g ) ( \frac { 1 k g } { 1000 g } ) } x \frac { 50 \text { pieces } } { 1 \text { box } }$$

Baholash

$$2062500x$$

Qisqa yechim qadamlari

Surat va maxrajdagi ikkala 1 ni qisqartiring.

$$\frac{330ton\times \frac{1000kg}{ton}}{160g\times \frac{1kg}{1000g}}x$$

330\times \frac{1000kg}{ton} ni yagona kasrga aylantiring.

$$\frac{\frac{330\times 1000kg}{ton}ton}{160g\times \frac{1kg}{1000g}}x$$

Surat va maxrajdagi ikkala g ni qisqartiring.

$$\frac{\frac{330\times 1000kg}{ton}ton}{160g\times \frac{k}{1000}}x$$

160\times \frac{k}{1000} ni yagona kasrga aylantiring.

$$\frac{\frac{330\times 1000kg}{ton}ton}{\frac{160k}{1000}g}x$$

330000 hosil qilish uchun 330 va 1000 ni ko'paytirish.

$$\frac{\frac{330000kg}{ton}ton}{\frac{160k}{1000}g}x$$

\frac{330000kg}{ton}t ni yagona kasrga aylantiring.

$$\frac{\frac{330000kgt}{ton}on}{\frac{160k}{1000}g}x$$

Surat va maxrajdagi ikkala t ni qisqartiring.

$$\frac{\frac{330000gk}{no}on}{\frac{160k}{1000}g}x$$

\frac{330000gk}{no}o ni yagona kasrga aylantiring.

$$\frac{\frac{330000gko}{no}n}{\frac{160k}{1000}g}x$$

Surat va maxrajdagi ikkala o ni qisqartiring.

$$\frac{\frac{330000gk}{n}n}{\frac{160k}{1000}g}x$$

n va n ni qisqartiring.

$$\frac{330000gk}{\frac{160k}{1000}g}x$$

\frac{4}{25}k ni olish uchun 160k ni 1000 ga bo‘ling.

$$\frac{330000gk}{\frac{4}{25}kg}x$$

Surat va maxrajdagi ikkala gk ni qisqartiring.

$$\frac{330000}{\frac{4}{25}}x$$

330000 ni \frac{4}{25} ga bo'lish 330000 ga k'paytirish \frac{4}{25} ga qaytarish.

$$330000\times \frac{25}{4}x$$

330000\times \frac{25}{4} ni yagona kasrga aylantiring.

$$\frac{330000\times 25}{4}x$$

8250000 hosil qilish uchun 330000 va 25 ni ko'paytirish.

$$\frac{8250000}{4}x$$

2062500 ni olish uchun 8250000 ni 4 ga bo‘ling.

$$2062500x$$

x ga nisbatan hosilani topish

$$2062500$$

Derivativ ifodasidan foydalanish qadamlari

Surat va maxrajdagi ikkala 1 ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{330ton\times \frac{1000kg}{ton}}{160g\times \frac{1kg}{1000g}}x)$$

330\times \frac{1000kg}{ton} ni yagona kasrga aylantiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{330\times 1000kg}{ton}ton}{160g\times \frac{1kg}{1000g}}x)$$

Surat va maxrajdagi ikkala g ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{330\times 1000kg}{ton}ton}{160g\times \frac{k}{1000}}x)$$

160\times \frac{k}{1000} ni yagona kasrga aylantiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{330\times 1000kg}{ton}ton}{\frac{160k}{1000}g}x)$$

330000 hosil qilish uchun 330 va 1000 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{330000kg}{ton}ton}{\frac{160k}{1000}g}x)$$

\frac{330000kg}{ton}t ni yagona kasrga aylantiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{330000kgt}{ton}on}{\frac{160k}{1000}g}x)$$

Surat va maxrajdagi ikkala t ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{330000gk}{no}on}{\frac{160k}{1000}g}x)$$

\frac{330000gk}{no}o ni yagona kasrga aylantiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{330000gko}{no}n}{\frac{160k}{1000}g}x)$$

Surat va maxrajdagi ikkala o ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{330000gk}{n}n}{\frac{160k}{1000}g}x)$$

n va n ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{330000gk}{\frac{160k}{1000}g}x)$$

\frac{4}{25}k ni olish uchun 160k ni 1000 ga bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{330000gk}{\frac{4}{25}kg}x)$$

Surat va maxrajdagi ikkala gk ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{330000}{\frac{4}{25}}x)$$

330000 ni \frac{4}{25} ga bo'lish 330000 ga k'paytirish \frac{4}{25} ga qaytarish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(330000\times \frac{25}{4}x)$$

330000\times \frac{25}{4} ni yagona kasrga aylantiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{330000\times 25}{4}x)$$

8250000 hosil qilish uchun 330000 va 25 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{8250000}{4}x)$$

2062500 ni olish uchun 8250000 ni 4 ga bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2062500x)$$

ax^{n} hosilasi – nax^{n-1}.

$$2062500x^{1-1}$$

1 dan 1 ni ayirish.

$$2062500x^{0}$$

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

$$2062500\times 1$$

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

$$2062500$$