2x^4*6x^3:(4x^2)= eching

$$2 x ^ { 4 } \cdot 6 x ^ { 3 } : ( 4 x ^ { 2 } ) =$$

Baholash

$$3x^{5}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 3 ni qo‘shib, 7 ni oling.

$$\frac{2x^{7}\times 6}{4x^{2}}$$

Surat va maxrajdagi ikkala 2\times 2x^{2} ni qisqartiring.

$$3x^{5}$$

x ga nisbatan hosilani topish

$$15x^{4}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{12x^{3}}{4}x^{4-2})$$

Arifmetik hisobni amalga oshirish.

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

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

$$2\times 3x^{3}x^{2-1}$$

Arifmetik hisobni amalga oshirish.

$$6x^{3}x^{1}$$

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

$$6x^{3}x$$