(64u)^-frac{3{2}} eching

$$( 64 u ) ^ { - \frac { 3 } { 2 } }$$

Baholash

$$\frac{1}{512u^{\frac{3}{2}}}$$

Yechim qadamlari

\left(64u\right)^{-\frac{3}{2}} ni kengaytirish.

$$64^{-\frac{3}{2}}u^{-\frac{3}{2}}$$

-\frac{3}{2} daraja ko‘rsatkichini 64 ga hisoblang va \frac{1}{512} ni qiymatni oling.

$$\frac{1}{512}u^{-\frac{3}{2}}$$

u ga nisbatan hosilani topish

$$-\frac{3}{1024u^{\frac{5}{2}}}$$

Derivativ ifodasidan foydalanish qadamlari

\left(64u\right)^{-\frac{3}{2}} ni kengaytirish.

$$\frac{\mathrm{d}}{\mathrm{d}u}(64^{-\frac{3}{2}}u^{-\frac{3}{2}})$$

-\frac{3}{2} daraja ko‘rsatkichini 64 ga hisoblang va \frac{1}{512} ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}u}(\frac{1}{512}u^{-\frac{3}{2}})$$

ax^{n} hosilasi – nax^{n-1}.

$$-\frac{3}{2}\times \frac{1}{512}u^{-\frac{3}{2}-1}$$

Raqamlash sonlarini va maxraj sonlariga ko'paytirish orqali -\frac{3}{2} ni \frac{1}{512} ga ko'paytirish. So'ngra kasrni imkoni boricha eng kam a'zoga qisqartiring.

$$-\frac{3}{1024}u^{-\frac{3}{2}-1}$$

-\frac{3}{2} dan 1 ni ayirish.

$$-\frac{3}{1024}u^{-\frac{5}{2}}$$