168x^5*frac{1}3^3 eching

$$168 x ^ { 5 } \cdot \frac { 1 } { 3 } ^ { 3 }$$

Baholash

$$\frac{56x^{5}}{9}$$

Yechim qadamlari

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

$$168x^{5}\times \frac{1}{27}$$

\frac{56}{9} hosil qilish uchun 168 va \frac{1}{27} ni ko'paytirish.

$$\frac{56}{9}x^{5}$$

x ga nisbatan hosilani topish

$$\frac{280x^{4}}{9}$$

Derivativ ifodasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(168x^{5}\times \frac{1}{27})$$

\frac{56}{9} hosil qilish uchun 168 va \frac{1}{27} ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{56}{9}x^{5})$$

ax^{n} hosilasi – nax^{n-1}.

$$5\times \frac{56}{9}x^{5-1}$$

5 ni \frac{56}{9} marotabaga ko'paytirish.

$$\frac{280}{9}x^{5-1}$$

5 dan 1 ni ayirish.

$$\frac{280}{9}x^{4}$$