(3x^4-2x^2-2)+(-2x^4+5) eching

$$( 3 x ^ { 4 } - 2 x ^ { 2 } - 2 ) + ( - 2 x ^ { 4 } + 5 )$$

Baholash

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

Yechim qadamlari

x^{4} ni olish uchun 3x^{4} va -2x^{4} ni birlashtirish.

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

3 olish uchun -2 va 5'ni qo'shing.

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

x ga nisbatan hosilani topish

$$4x\left(x^{2}-1\right)$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

x^{4} ni olish uchun 3x^{4} va -2x^{4} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}-2x^{2}-2+5)$$

3 olish uchun -2 va 5'ni qo'shing.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}-2x^{2}+3)$$

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

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

4 dan 1 ni ayirish.

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

2 ni -2 marotabaga ko'paytirish.

$$4x^{3}-4x^{2-1}$$

2 dan 1 ni ayirish.

$$4x^{3}-4x^{1}$$

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

$$4x^{3}-4x$$