8k^4/2k eching

$$\frac { 8 k ^ { 4 } } { 2 k }$$

Baholash

$$4k^{3}$$

Eksponent koeffitsienti uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{8^{1}k^{4}}{2^{1}k^{1}}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\frac{8^{1}k^{4-1}}{2^{1}}$$

4 dan 1 ni ayirish.

$$\frac{8^{1}k^{3}}{2^{1}}$$

8 ni 2 ga bo'lish.

$$4k^{3}$$

k ga nisbatan hosilani topish

$$12k^{2}$$

Yechim qadamlari

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\frac{\mathrm{d}}{\mathrm{d}k}(\frac{8}{2}k^{4-1})$$

Arifmetik hisobni amalga oshirish.

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

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

$$3\times 4k^{3-1}$$

Arifmetik hisobni amalga oshirish.

$$12k^{2}$$