24x^3div(-6x) eching

$$24 x ^ { 3 } \div ( - 6 x )$$

Baholash

$$-4x^{2}$$

Eksponent koeffitsienti uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{24^{1}x^{3}}{\left(-6\right)^{1}x^{1}}$$

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

$$\frac{24^{1}x^{3-1}}{\left(-6\right)^{1}}$$

3 dan 1 ni ayirish.

$$\frac{24^{1}x^{2}}{\left(-6\right)^{1}}$$

24 ni -6 ga bo'lish.

$$-4x^{2}$$

x ga nisbatan hosilani topish

$$-8x$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{24}{-6}x^{3-1})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4x^{2})$$

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

$$2\left(-4\right)x^{2-1}$$

Arifmetik hisobni amalga oshirish.

$$-8x^{1}$$

Har qanday t sharti uchun t^{1}=t.

$$-8x$$