d/dt(2t^4/3-3t^2/3)= eching

$$\frac { d } { d t } ( 2 t ^ { 4 / 3 } - 3 t ^ { 2 / 3 } ) =$$

Baholash

$$\frac{8\sqrt[3]{t}}{3}-\frac{2}{\sqrt[3]{t}}$$

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}.

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

\frac{4}{3} ni 2 marotabaga ko'paytirish.

$$\frac{8}{3}t^{\frac{4}{3}-1}+\frac{2}{3}\left(-3\right)t^{\frac{2}{3}-1}$$

\frac{4}{3} dan 1 ni ayirish.

$$\frac{8}{3}\sqrt[3]{t}+\frac{2}{3}\left(-3\right)t^{\frac{2}{3}-1}$$

\frac{2}{3} ni -3 marotabaga ko'paytirish.

$$\frac{8}{3}\sqrt[3]{t}-2t^{\frac{2}{3}-1}$$

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

$$\frac{8}{3}\sqrt[3]{t}-2t^{-\frac{1}{3}}$$

t ga nisbatan hosilani topish

$$\frac{8}{9t^{\frac{2}{3}}}+\frac{2}{3t^{\frac{4}{3}}}$$