5x^5y^4/35xy^2 eching

$$\frac { 5 x ^ { 5 } y ^ { 4 } } { 35 x y ^ { 2 } }$$

Baholash

$$\frac{y^{2}x^{4}}{7}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{5^{1}x^{5}y^{4}}{35^{1}x^{1}y^{2}}$$

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

$$\frac{5^{1}}{35^{1}}x^{5-1}y^{4-2}$$

5 dan 1 ni ayirish.

$$\frac{5^{1}}{35^{1}}x^{4}y^{4-2}$$

4 dan 2 ni ayirish.

$$\frac{5^{1}}{35^{1}}x^{4}y^{2}$$

\frac{5}{35} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{7}x^{4}y^{2}$$

x ga nisbatan hosilani topish

$$\frac{4y^{2}x^{3}}{7}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5y^{4}}{35y^{2}}x^{5-1})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{y^{2}}{7}x^{4})$$

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

$$4\times \frac{y^{2}}{7}x^{4-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{4y^{2}}{7}x^{3}$$