4/5x^3(-7/2x^2) eching

$$\frac { 4 } { 5 } x ^ { 3 } ( - \frac { 7 } { 2 } x ^ { 2 } )$$

Baholash

$$-\frac{14x^{5}}{5}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 2 ni qo‘shib, 5 ni oling.

$$\frac{4}{5}x^{5}\left(-\frac{7}{2}\right)$$

-\frac{14}{5} hosil qilish uchun \frac{4}{5} va -\frac{7}{2} ni ko'paytirish.

$$-\frac{14}{5}x^{5}$$

x ga nisbatan hosilani topish

$$-14x^{4}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 2 ni qo‘shib, 5 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4}{5}x^{5}\left(-\frac{7}{2}\right))$$

-\frac{14}{5} hosil qilish uchun \frac{4}{5} va -\frac{7}{2} ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{14}{5}x^{5})$$

ax^{n} hosilasi – nax^{n-1}.

$$5\left(-\frac{14}{5}\right)x^{5-1}$$

5 ni -\frac{14}{5} marotabaga ko'paytirish.

$$-14x^{5-1}$$

5 dan 1 ni ayirish.

$$-14x^{4}$$