12y^1*42^1*4/128 eching

$$\frac{ 12 { y }^{ 1 \cdot 4 } { 2 }^{ 1 \cdot 4 } }{ 128 }$$

Baholash

$$\frac{3y^{4}}{2}$$

Yechim qadamlari

4 hosil qilish uchun 1 va 4 ni ko'paytirish.

$$\frac{12y^{4}\times 2^{1\times 4}}{128}$$

4 hosil qilish uchun 1 va 4 ni ko'paytirish.

$$\frac{12y^{4}\times 2^{4}}{128}$$

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

$$\frac{12y^{4}\times 16}{128}$$

192 hosil qilish uchun 12 va 16 ni ko'paytirish.

$$\frac{192y^{4}}{128}$$

\frac{3}{2}y^{4} ni olish uchun 192y^{4} ni 128 ga bo‘ling.

$$\frac{3}{2}y^{4}$$

y ga nisbatan hosilani topish

$$6y^{3}$$

Derivativ ifodasidan foydalanish qadamlari

4 hosil qilish uchun 1 va 4 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{12y^{4}\times 2^{1\times 4}}{128})$$

4 hosil qilish uchun 1 va 4 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{12y^{4}\times 2^{4}}{128})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{12y^{4}\times 16}{128})$$

192 hosil qilish uchun 12 va 16 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{192y^{4}}{128})$$

\frac{3}{2}y^{4} ni olish uchun 192y^{4} ni 128 ga bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{3}{2}y^{4})$$

ax^{n} hosilasi – nax^{n-1}.

$$4\times \frac{3}{2}y^{4-1}$$

4 ni \frac{3}{2} marotabaga ko'paytirish.

$$6y^{4-1}$$

4 dan 1 ni ayirish.

$$6y^{3}$$