d/dx(6x^4-3x^5+5x^6)? eching

$$\frac { d } { d x } ( 6 x ^ { 4 } - 3 x ^ { 5 } + 5 x ^ { 6 } ) ?$$

Baholash

$$3\left(10x^{2}-5x+8\right)x^{3}$$

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}.

$$4\times 6x^{4-1}+5\left(-3\right)x^{5-1}+6\times 5x^{6-1}$$

4 ni 6 marotabaga ko'paytirish.

$$24x^{4-1}+5\left(-3\right)x^{5-1}+6\times 5x^{6-1}$$

4 dan 1 ni ayirish.

$$24x^{3}+5\left(-3\right)x^{5-1}+6\times 5x^{6-1}$$

5 ni -3 marotabaga ko'paytirish.

$$24x^{3}-15x^{5-1}+6\times 5x^{6-1}$$

5 dan 1 ni ayirish.

$$24x^{3}-15x^{4}+6\times 5x^{6-1}$$

5 ni -3 marotabaga ko'paytirish.

$$24x^{3}-15x^{4}+30x^{6-1}$$

6 dan 1 ni ayirish.

$$24x^{3}-15x^{4}+30x^{5}$$

x ga nisbatan hosilani topish

$$6x^{2}\left(25x^{2}-10x+12\right)$$