1*(10/3x)div(5/6x) eching

$$1 \cdot ( \frac { 10 } { 3 } x ) \div ( \frac { 5 } { 6 x } )$$

Baholash

$$4x^{2}$$

Yechim qadamlari

\frac{10}{3} hosil qilish uchun 1 va \frac{10}{3} ni ko'paytirish.

$$\frac{\frac{10}{3}x}{\frac{5}{6x}}$$

\frac{10}{3}x ni \frac{5}{6x} ga bo'lish \frac{10}{3}x ga k'paytirish \frac{5}{6x} ga qaytarish.

$$\frac{\frac{10}{3}x\times 6x}{5}$$

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$\frac{\frac{10}{3}x^{2}\times 6}{5}$$

\frac{10}{3}\times 6 ni yagona kasrga aylantiring.

$$\frac{\frac{10\times 6}{3}x^{2}}{5}$$

60 hosil qilish uchun 10 va 6 ni ko'paytirish.

$$\frac{\frac{60}{3}x^{2}}{5}$$

20 ni olish uchun 60 ni 3 ga bo‘ling.

$$\frac{20x^{2}}{5}$$

4x^{2} ni olish uchun 20x^{2} ni 5 ga bo‘ling.

$$4x^{2}$$

x ga nisbatan hosilani topish

$$8x$$

Derivativ ifodasidan foydalanish qadamlari

\frac{10}{3} hosil qilish uchun 1 va \frac{10}{3} ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{10}{3}x}{\frac{5}{6x}})$$

\frac{10}{3}x ni \frac{5}{6x} ga bo'lish \frac{10}{3}x ga k'paytirish \frac{5}{6x} ga qaytarish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{10}{3}x\times 6x}{5})$$

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{10}{3}x^{2}\times 6}{5})$$

\frac{10}{3}\times 6 ni yagona kasrga aylantiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{10\times 6}{3}x^{2}}{5})$$

60 hosil qilish uchun 10 va 6 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{60}{3}x^{2}}{5})$$

20 ni olish uchun 60 ni 3 ga bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{20x^{2}}{5})$$

4x^{2} ni olish uchun 20x^{2} ni 5 ga bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{2})$$

ax^{n} hosilasi – nax^{n-1}.

$$2\times 4x^{2-1}$$

2 ni 4 marotabaga ko'paytirish.

$$8x^{2-1}$$

2 dan 1 ni ayirish.

$$8x^{1}$$

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

$$8x$$