z^2*(-1)^2*3^2 eching

$$z ^ { 2 } \cdot ( - 1 ) ^ { 2 } \cdot 3 ^ { 2 }$$

Baholash

$$9z^{2}$$

Yechim qadamlari

2 daraja ko‘rsatkichini -1 ga hisoblang va 1 ni qiymatni oling.

$$z^{2}\times 1\times 3^{2}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$z^{2}\times 1\times 9$$

9 hosil qilish uchun 1 va 9 ni ko'paytirish.

$$z^{2}\times 9$$

z ga nisbatan hosilani topish

$$18z$$

Derivativ ifodasidan foydalanish qadamlari

2 daraja ko‘rsatkichini -1 ga hisoblang va 1 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}z}(z^{2}\times 1\times 3^{2})$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}z}(z^{2}\times 1\times 9)$$

9 hosil qilish uchun 1 va 9 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}z}(z^{2}\times 9)$$

ax^{n} hosilasi – nax^{n-1}.

$$2\times 9z^{2-1}$$

2 ni 9 marotabaga ko'paytirish.

$$18z^{2-1}$$

2 dan 1 ni ayirish.

$$18z^{1}$$

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

$$18z$$