{left({x}^frac{1{2}}right)}^-3 eching

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

x ga nisbatan hosilani topish

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

Zanjirli qoidadan foydalanish qadamalari

Agar F ikki differensial funksiya f\left(u\right) va u=g\left(x\right)'ning yig'indisi bo'lsa, ya'ni agar F\left(x\right)=f\left(g\left(x\right)\right) bo'lsa, F hosilasi f'ning u martalik hosilasi, g'ning x martalik hosilasi ya'ni \frac{\mathrm{d}}{\mathrm{d}x}(F)\left(x\right)=\frac{\mathrm{d}}{\mathrm{d}x}(f)\left(g\left(x\right)\right)\frac{\mathrm{d}}{\mathrm{d}x}(g)\left(x\right) bo'ladi.

$$-3\left(\sqrt{x}\right)^{-3-1}\frac{\mathrm{d}}{\mathrm{d}x}(\sqrt{x})$$

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

$$-3\left(\sqrt{x}\right)^{-4}\times \frac{1}{2}x^{\frac{1}{2}-1}$$

Qisqartirish.

$$-\frac{3}{2}x^{-\frac{1}{2}}\left(\sqrt{x}\right)^{-4}$$

Baholash

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