(-7/3x^3)*(-4/7x)+2/3x^4= eching

$$( - \frac { 7 } { 3 } x ^ { 3 } ) \cdot ( - \frac { 4 } { 7 } x ) + \frac { 2 } { 3 } x ^ { 4 } =$$

Baholash

$$2x^{4}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 1 ni qo‘shib, 4 ni oling.

$$-\frac{7}{3}x^{4}\left(-\frac{4}{7}\right)+\frac{2}{3}x^{4}$$

\frac{4}{3} hosil qilish uchun -\frac{7}{3} va -\frac{4}{7} ni ko'paytirish.

$$\frac{4}{3}x^{4}+\frac{2}{3}x^{4}$$

2x^{4} ni olish uchun \frac{4}{3}x^{4} va \frac{2}{3}x^{4} ni birlashtirish.

$$2x^{4}$$

x ga nisbatan hosilani topish

$$8x^{3}$$

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}.

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

3 ni -\frac{7}{3}\left(-\frac{4}{7}\right)x marotabaga ko'paytirish.

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

3 dan 1 ni ayirish.

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

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

$$4xx^{2}+\frac{8}{3}x^{4-1}$$

4 dan 1 ni ayirish.

$$4xx^{2}+\frac{8}{3}x^{3}$$