-667*10^-1118x*x/15*10^8 eching

$$-667 \times { 10 }^{ -11 } \frac{ 18x \times x }{ 15 \times { 10 }^{ 8 } }$$

Baholash

$$-\frac{2001x^{2}}{25000000000000000000}$$

Yechim qadamlari

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

$$-667\times 10^{-11}\times \frac{18x^{2}}{15\times 10^{8}}$$

-11 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{100000000000} ni qiymatni oling.

$$-667\times \frac{1}{100000000000}\times \frac{18x^{2}}{15\times 10^{8}}$$

-\frac{667}{100000000000} hosil qilish uchun -667 va \frac{1}{100000000000} ni ko'paytirish.

$$-\frac{667}{100000000000}\times \frac{18x^{2}}{15\times 10^{8}}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$-\frac{667}{100000000000}\times \frac{6x^{2}}{5\times 10^{8}}$$

8 daraja ko‘rsatkichini 10 ga hisoblang va 100000000 ni qiymatni oling.

$$-\frac{667}{100000000000}\times \frac{6x^{2}}{5\times 100000000}$$

500000000 hosil qilish uchun 5 va 100000000 ni ko'paytirish.

$$-\frac{667}{100000000000}\times \frac{6x^{2}}{500000000}$$

\frac{3}{250000000}x^{2} ni olish uchun 6x^{2} ni 500000000 ga bo‘ling.

$$-\frac{667}{100000000000}\times \frac{3}{250000000}x^{2}$$

-\frac{2001}{25000000000000000000} hosil qilish uchun -\frac{667}{100000000000} va \frac{3}{250000000} ni ko'paytirish.

$$-\frac{2001}{25000000000000000000}x^{2}$$

x ga nisbatan hosilani topish

$$-\frac{2001x}{12500000000000000000}$$

Derivativ ifodasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(-667\times 10^{-11}\times \frac{18x^{2}}{15\times 10^{8}})$$

-11 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{100000000000} ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-667\times \frac{1}{100000000000}\times \frac{18x^{2}}{15\times 10^{8}})$$

-\frac{667}{100000000000} hosil qilish uchun -667 va \frac{1}{100000000000} ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{667}{100000000000}\times \frac{18x^{2}}{15\times 10^{8}})$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{667}{100000000000}\times \frac{6x^{2}}{5\times 10^{8}})$$

8 daraja ko‘rsatkichini 10 ga hisoblang va 100000000 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{667}{100000000000}\times \frac{6x^{2}}{5\times 100000000})$$

500000000 hosil qilish uchun 5 va 100000000 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{667}{100000000000}\times \frac{6x^{2}}{500000000})$$

\frac{3}{250000000}x^{2} ni olish uchun 6x^{2} ni 500000000 ga bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{667}{100000000000}\times \frac{3}{250000000}x^{2})$$

-\frac{2001}{25000000000000000000} hosil qilish uchun -\frac{667}{100000000000} va \frac{3}{250000000} ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{2001}{25000000000000000000}x^{2})$$

ax^{n} hosilasi – nax^{n-1}.

$$2\left(-\frac{2001}{25000000000000000000}\right)x^{2-1}$$

2 ni -\frac{2001}{25000000000000000000} marotabaga ko'paytirish.

$$-\frac{2001}{12500000000000000000}x^{2-1}$$

2 dan 1 ni ayirish.

$$-\frac{2001}{12500000000000000000}x^{1}$$

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

$$-\frac{2001}{12500000000000000000}x$$