1/2|13|(6/k) eching

$$\frac { 1 } { 2 } | 13 | ( \frac { 6 } { k } )$$

Baholash

$$\frac{39}{k}$$

Yechim qadamlari

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. 13 ning mutloq qiymati 13 ga teng.

$$\frac{1}{2}\times 13\times \frac{6}{k}$$

\frac{13}{2} hosil qilish uchun \frac{1}{2} va 13 ni ko'paytirish.

$$\frac{13}{2}\times \frac{6}{k}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{13}{2} ni \frac{6}{k} ga ko‘paytiring.

$$\frac{13\times 6}{2k}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{3\times 13}{k}$$

39 hosil qilish uchun 3 va 13 ni ko'paytirish.

$$\frac{39}{k}$$

k ga nisbatan hosilani topish

$$-\frac{39}{k^{2}}$$

Derivativ ifodasidan foydalanish qadamlari

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. 13 ning mutloq qiymati 13 ga teng.

$$\frac{\mathrm{d}}{\mathrm{d}k}(\frac{1}{2}\times 13\times \frac{6}{k})$$

\frac{13}{2} hosil qilish uchun \frac{1}{2} va 13 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}k}(\frac{13}{2}\times \frac{6}{k})$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{13}{2} ni \frac{6}{k} ga ko‘paytiring.

$$\frac{\mathrm{d}}{\mathrm{d}k}(\frac{13\times 6}{2k})$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}k}(\frac{3\times 13}{k})$$

39 hosil qilish uchun 3 va 13 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}k}(\frac{39}{k})$$

ax^{n} hosilasi – nax^{n-1}.

$$-39k^{-1-1}$$

-1 dan 1 ni ayirish.

$$-39k^{-2}$$