24x^4-15x^3+100 eching

$$24 x ^ { 4 } - 15 x ^ { 3 } + 100$$

x ga nisbatan hosilani topish

$$3\left(32x-15\right)x^{2}$$

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}.

$$4\times 24x^{4-1}+3\left(-15\right)x^{3-1}$$

4 ni 24 marotabaga ko'paytirish.

$$96x^{4-1}+3\left(-15\right)x^{3-1}$$

4 dan 1 ni ayirish.

$$96x^{3}+3\left(-15\right)x^{3-1}$$

3 ni -15 marotabaga ko'paytirish.

$$96x^{3}-45x^{3-1}$$

3 dan 1 ni ayirish.

$$96x^{3}-45x^{2}$$

Baholash

$$24x^{4}-15x^{3}+100$$