(3^67*6^39x^1 eching

$$( 3 ^ { 67 } \times 6 ^ { 39 } x ^ { 1 }$$

Baholash

$$206548873721443125982477966705232251877652554425568486964068352x$$

Yechim qadamlari

67 daraja ko‘rsatkichini 3 ga hisoblang va 92709463147897837085761925410587 ni qiymatni oling.

$$92709463147897837085761925410587\times 6^{39}x^{1}$$

39 daraja ko‘rsatkichini 6 ga hisoblang va 2227915756473955677973140996096 ni qiymatni oling.

$$92709463147897837085761925410587\times 2227915756473955677973140996096x^{1}$$

206548873721443125982477966705232251877652554425568486964068352 hosil qilish uchun 92709463147897837085761925410587 va 2227915756473955677973140996096 ni ko'paytirish.

$$206548873721443125982477966705232251877652554425568486964068352x^{1}$$

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

$$206548873721443125982477966705232251877652554425568486964068352x$$

x ga nisbatan hosilani topish

$$206548873721443125982477966705232251877652554425568486964068352$$

Derivativ ifodasidan foydalanish qadamlari

67 daraja ko‘rsatkichini 3 ga hisoblang va 92709463147897837085761925410587 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(92709463147897837085761925410587\times 6^{39}x^{1})$$

39 daraja ko‘rsatkichini 6 ga hisoblang va 2227915756473955677973140996096 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(92709463147897837085761925410587\times 2227915756473955677973140996096x^{1})$$

206548873721443125982477966705232251877652554425568486964068352 hosil qilish uchun 92709463147897837085761925410587 va 2227915756473955677973140996096 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(206548873721443125982477966705232251877652554425568486964068352x^{1})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(206548873721443125982477966705232251877652554425568486964068352x)$$

ax^{n} hosilasi – nax^{n-1}.

$$206548873721443125982477966705232251877652554425568486964068352x^{1-1}$$

1 dan 1 ni ayirish.

$$206548873721443125982477966705232251877652554425568486964068352x^{0}$$

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

$$206548873721443125982477966705232251877652554425568486964068352\times 1$$

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$206548873721443125982477966705232251877652554425568486964068352$$