{x}^frac{1{4}}-2{x}^frac{1{2}}+1 eching

$${ x }^{ \frac{ 1 }{ 4 } } -2 { x }^{ \frac{ 1 }{ 2 } } +1$$

x ga nisbatan hosilani topish

$$-\frac{1}{\sqrt{x}}+\frac{1}{4x^{\frac{3}{4}}}$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

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

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

\frac{1}{4} dan 1 ni ayirish.

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

\frac{1}{2} ni -2 marotabaga ko'paytirish.

$$\frac{1}{4}x^{-\frac{3}{4}}-x^{\frac{1}{2}-1}$$

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

$$\frac{1}{4}x^{-\frac{3}{4}}-x^{-\frac{1}{2}}$$

Baholash

$$-2\sqrt{x}+\sqrt[4]{x}+1$$