x^-2*{x}^frac{1{2}} eching

$${ x }^{ -2 } \times { x }^{ \frac{ 1 }{ 2 } }$$

x ga nisbatan hosilani topish

$$-\frac{3}{2x^{\frac{5}{2}}}$$

Koʻpaytma uchun derivativ qoidasidan foydalanish qadamlari

Har qanday ikki differensial funksiya uchun, ikki funksiya koʻpaytmasining hosilasi birinchi funksiya marotabasi, ikkinchi plyus hosilasi ikkinchi funksiya marotabasi birinchining hosilasidir.

$$x^{-2}\frac{\mathrm{d}}{\mathrm{d}x}(\sqrt{x})+\sqrt{x}\frac{\mathrm{d}}{\mathrm{d}x}(x^{-2})$$

Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.

$$x^{-2}\times \frac{1}{2}x^{\frac{1}{2}-1}+\sqrt{x}\left(-2\right)x^{-2-1}$$

Qisqartirish.

$$x^{-2}\times \frac{1}{2}x^{-\frac{1}{2}}+\sqrt{x}\left(-2\right)x^{-3}$$

Ayni daraja ko'rsatkichlarini ko'paytirish uchun ularning darajalarini qo'shing.

$$\frac{1}{2}x^{-2-\frac{1}{2}}-2x^{\frac{1}{2}-3}$$

Qisqartirish.

$$\frac{1}{2}x^{-\frac{5}{2}}-2x^{-\frac{5}{2}}$$

Baholash

$$\frac{1}{x^{\frac{3}{2}}}$$