w*w^-31/w^-58 eching

$$\frac { w \cdot w ^ { - 31 } } { w ^ { - 58 } }$$

Baholash

$$w^{28}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va -31 ni qo‘shib, -30 ni oling.

$$\frac{w^{-30}}{w^{-58}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. -30 dan -58 ni ayirib, 28 ni oling.

$$w^{28}$$

w ga nisbatan hosilani topish

$$28w^{27}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}w}(\frac{w}{1}w^{-31-\left(-58\right)})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}w}(ww^{27})$$

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

$$27ww^{27-1}$$

Arifmetik hisobni amalga oshirish.

$$27ww^{26}$$