1/3^-3y^-2= eching

$$\frac { 1 } { 3 ^ { - 3 } } y ^ { - 2 } =$$

Baholash

$$\frac{27}{y^{2}}$$

Yechim qadamlari

-3 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{27} ni qiymatni oling.

$$\frac{1}{\frac{1}{27}}y^{-2}$$

1 ni \frac{1}{27} ga bo'lish 1 ga k'paytirish \frac{1}{27} ga qaytarish.

$$1\times 27y^{-2}$$

27 hosil qilish uchun 1 va 27 ni ko'paytirish.

$$27y^{-2}$$

y ga nisbatan hosilani topish

$$-\frac{54}{y^{3}}$$

Derivativ ifodasidan foydalanish qadamlari

-3 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{27} ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{1}{\frac{1}{27}}y^{-2})$$

1 ni \frac{1}{27} ga bo'lish 1 ga k'paytirish \frac{1}{27} ga qaytarish.

$$\frac{\mathrm{d}}{\mathrm{d}y}(1\times 27y^{-2})$$

27 hosil qilish uchun 1 va 27 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}y}(27y^{-2})$$

ax^{n} hosilasi – nax^{n-1}.

$$-2\times 27y^{-2-1}$$

-2 ni 27 marotabaga ko'paytirish.

$$-54y^{-2-1}$$

-2 dan 1 ni ayirish.

$$-54y^{-3}$$