4x^{4}+2x^{2}-3x^7+2)-(3x^9+4x^8+4x^7-1) eching

$$4 x ^ { 4 } + 2 x ^ { 2 } - 3 x ^ { 7 } + 2 ) - ( 3 x ^ { 9 } + 4 x ^ { 8 } + 4 x ^ { 7 } - 1 )$$

x ga nisbatan hosilani topish

$$x\left(4+16x^{2}-21x^{5}\right)$$

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}.

$$4\times 4x^{4-1}+2\times 2x^{2-1}+7\left(-3\right)x^{7-1}$$

4 ni 4 marotabaga ko'paytirish.

$$16x^{4-1}+2\times 2x^{2-1}+7\left(-3\right)x^{7-1}$$

4 dan 1 ni ayirish.

$$16x^{3}+2\times 2x^{2-1}+7\left(-3\right)x^{7-1}$$

2 ni 2 marotabaga ko'paytirish.

$$16x^{3}+4x^{2-1}+7\left(-3\right)x^{7-1}$$

2 dan 1 ni ayirish.

$$16x^{3}+4x^{1}+7\left(-3\right)x^{7-1}$$

2 ni 2 marotabaga ko'paytirish.

$$16x^{3}+4x^{1}-21x^{7-1}$$

7 dan 1 ni ayirish.

$$16x^{3}+4x^{1}-21x^{6}$$

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

$$16x^{3}+4x-21x^{6}$$

Baholash

$$2+2x^{2}+4x^{4}-3x^{7}$$