left(2xright)^1+2-2^2+2 eching

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

Baholash

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

Yechim qadamlari

3 olish uchun 1 va 2'ni qo'shing.

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

\left(2x\right)^{3} ni kengaytirish.

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

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$8x^{3}-2^{2+2}$$

4 olish uchun 2 va 2'ni qo'shing.

$$8x^{3}-2^{4}$$

4 daraja ko‘rsatkichini 2 ga hisoblang va 16 ni qiymatni oling.

$$8x^{3}-16$$

x ga nisbatan hosilani topish

$$24x^{2}$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

3 olish uchun 1 va 2'ni qo'shing.

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

\left(2x\right)^{3} ni kengaytirish.

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

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(8x^{3}-2^{2+2})$$

4 olish uchun 2 va 2'ni qo'shing.

$$\frac{\mathrm{d}}{\mathrm{d}x}(8x^{3}-2^{4})$$

4 daraja ko‘rsatkichini 2 ga hisoblang va 16 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(8x^{3}-16)$$

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

$$3\times 8x^{3-1}$$

3 ni 8 marotabaga ko'paytirish.

$$24x^{3-1}$$

3 dan 1 ni ayirish.

$$24x^{2}$$