x^6/x^10 eching

$$\frac{ { x }^{ 6 } }{ { x }^{ 10 } }$$

Baholash

$$\frac{1}{x^{4}}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{x^{6}}{x^{10}}$$

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

$$x^{6-10}$$

6 dan 10 ni ayirish.

$$x^{-4}$$

x ga nisbatan hosilani topish

$$-\frac{4}{x^{5}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{1}x^{6-10})$$

Arifmetik hisobni amalga oshirish.

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

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

$$-4x^{-4-1}$$

Arifmetik hisobni amalga oshirish.

$$-4x^{-5}$$