14x-5+3x^2-6x^4 eching

$$14 x - 5 + 3 x ^ { 2 } - 6 x ^ { 4 }$$

x ga nisbatan hosilani topish

$$14+6x-24x^{3}$$

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}.

$$14x^{1-1}+2\times 3x^{2-1}+4\left(-6\right)x^{4-1}$$

1 dan 1 ni ayirish.

$$14x^{0}+2\times 3x^{2-1}+4\left(-6\right)x^{4-1}$$

2 ni 3 marotabaga ko'paytirish.

$$14x^{0}+6x^{2-1}+4\left(-6\right)x^{4-1}$$

2 dan 1 ni ayirish.

$$14x^{0}+6x^{1}+4\left(-6\right)x^{4-1}$$

2 ni 3 marotabaga ko'paytirish.

$$14x^{0}+6x^{1}-24x^{4-1}$$

4 dan 1 ni ayirish.

$$14x^{0}+6x^{1}-24x^{3}$$

Har qanday t sharti uchun t^{1}=t.

$$14x^{0}+6x-24x^{3}$$

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

$$14\times 1+6x-24x^{3}$$

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$14+6x-24x^{3}$$

Baholash

$$-6x^{4}+3x^{2}+14x-5$$