k^2*k/2 eching

$$k ^ { 2 } \cdot \frac { k } { 2 }$$

Baholash

$$\frac{k^{3}}{2}$$

Yechim qadamlari

k^{2}\times \frac{k}{2} ni yagona kasrga aylantiring.

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

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$\frac{k^{3}}{2}$$

k ga nisbatan hosilani topish

$$\frac{3k^{2}}{2}$$

Koʻpaytma uchun derivativ qoidasidan foydalanish qadamlari

Har qanday ikki differensial funksiya uchun, ikki funksiya koʻpaytmasining hosilasi birinchi funksiya marotabasi, ikkinchi plyus hosilasi ikkinchi funksiya marotabasi birinchining hosilasidir.

$$k^{2}\frac{\mathrm{d}}{\mathrm{d}k}(\frac{1}{2}k^{1})+\frac{1}{2}k^{1}\frac{\mathrm{d}}{\mathrm{d}k}(k^{2})$$

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

$$k^{2}\times \frac{1}{2}k^{1-1}+\frac{1}{2}k^{1}\times 2k^{2-1}$$

Qisqartirish.

$$k^{2}\times \frac{1}{2}k^{0}+\frac{1}{2}k^{1}\times 2k^{1}$$

Ayni daraja ko'rsatkichlarini ko'paytirish uchun ularning darajalarini qo'shing.

$$\frac{1}{2}k^{2}+\frac{1}{2}\times 2k^{1+1}$$

Qisqartirish.

$$\frac{1}{2}k^{2}+k^{2}$$

O'xshash hadlarni birlashtirish.

$$\left(\frac{1}{2}+1\right)k^{2}$$

\frac{1}{2} ni 1 ga qo'shish.

$$\frac{3}{2}k^{2}$$