589x^5493x^3/5x^2 eching

$$\frac { 589 x ^ { 5 } 493 x ^ { 3 } } { 5 x ^ { 2 } }$$

Baholash

$$\frac{290377x^{6}}{5}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 3 ni qo‘shib, 8 ni oling.

$$\frac{589x^{8}\times 493}{5x^{2}}$$

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

$$\frac{493\times 589x^{6}}{5}$$

290377 hosil qilish uchun 493 va 589 ni ko'paytirish.

$$\frac{290377x^{6}}{5}$$

x ga nisbatan hosilani topish

$$\frac{1742262x^{5}}{5}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{290377x^{3}}{5}x^{5-2})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{290377x^{3}}{5}x^{3})$$

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

$$3\times \frac{290377x^{3}}{5}x^{3-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{871131x^{3}}{5}x^{2}$$