26xy/39x^2y^2 eching

$$\frac{ 26xy }{ 39 { x }^{ 2 } { y }^{ 2 } }$$

Baholash

$$\frac{2}{3xy}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{26^{1}x^{1}y^{1}}{39^{1}x^{2}y^{2}}$$

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

$$\frac{26^{1}}{39^{1}}x^{1-2}y^{1-2}$$

1 dan 2 ni ayirish.

$$\frac{26^{1}}{39^{1}}\times \frac{1}{x}y^{1-2}$$

1 dan 2 ni ayirish.

$$\frac{26^{1}}{39^{1}}\times \frac{1}{x}\times \frac{1}{y}$$

\frac{26}{39} ulushini 13 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{2}{3}\times \frac{1}{x}\times \frac{1}{y}$$

x ga nisbatan hosilani topish

$$-\frac{2}{3yx^{2}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{26y}{39y^{2}}x^{1-2})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2}{3y}\times \frac{1}{x})$$

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

$$-\frac{2}{3y}x^{-1-1}$$

Arifmetik hisobni amalga oshirish.

$$\left(-\frac{2}{3y}\right)x^{-2}$$