(x^2+2)+(4x^2-5) eching

$$( x ^ { 2 } + 2 ) + ( 4 x ^ { 2 } - 5 )$$

Baholash

$$5x^{2}-3$$

Yechim qadamlari

5x^{2} ni olish uchun x^{2} va 4x^{2} ni birlashtirish.

$$5x^{2}+2-5$$

-3 olish uchun 2 dan 5 ni ayirish.

$$5x^{2}-3$$

x ga nisbatan hosilani topish

$$10x$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

5x^{2} ni olish uchun x^{2} va 4x^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{2}+2-5)$$

-3 olish uchun 2 dan 5 ni ayirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{2}-3)$$

Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.

$$2\times 5x^{2-1}$$

2 ni 5 marotabaga ko'paytirish.

$$10x^{2-1}$$

2 dan 1 ni ayirish.

$$10x^{1}$$

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

$$10x$$