2^4x^35^-2 eching

$$2 ^ { 4 } x ^ { 3 } 5 ^ { - 2 }$$

Baholash

$$\frac{16x^{3}}{25}$$

Yechim qadamlari

4 daraja ko‘rsatkichini 2 ga hisoblang va 16 ni qiymatni oling.

$$16x^{3}\times 5^{-2}$$

-2 daraja ko‘rsatkichini 5 ga hisoblang va \frac{1}{25} ni qiymatni oling.

$$16x^{3}\times \frac{1}{25}$$

\frac{16}{25} hosil qilish uchun 16 va \frac{1}{25} ni ko'paytirish.

$$\frac{16}{25}x^{3}$$

x ga nisbatan hosilani topish

$$\frac{48x^{2}}{25}$$

Derivativ ifodasidan foydalanish qadamlari

4 daraja ko‘rsatkichini 2 ga hisoblang va 16 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(16x^{3}\times 5^{-2})$$

-2 daraja ko‘rsatkichini 5 ga hisoblang va \frac{1}{25} ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(16x^{3}\times \frac{1}{25})$$

\frac{16}{25} hosil qilish uchun 16 va \frac{1}{25} ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{16}{25}x^{3})$$

ax^{n} hosilasi – nax^{n-1}.

$$3\times \frac{16}{25}x^{3-1}$$

3 ni \frac{16}{25} marotabaga ko'paytirish.

$$\frac{48}{25}x^{3-1}$$

3 dan 1 ni ayirish.

$$\frac{48}{25}x^{2}$$