r/pi*r^2 eching

$$\frac { r } { \pi \cdot r ^ { 2 } }$$

Baholash

$$\frac{1}{\pi r}$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(r^{1}\right)^{1}\times \frac{1}{\pi r^{2}}$$

Ikki yoki undan ko'p raqam koʻpaytmasini daraja ko'rsatkichiga oshirish uchun har bir raqamni daraja ko'rsatkichiga oshiring va ularning koʻpaytmasini chiqaring.

$$1^{1}\left(r^{1}\right)^{1}\times \frac{1}{\pi }\times \frac{1}{r^{2}}$$

Ko'paytirishning kommutativ xususiyatidan foydalanish.

$$1^{1}\times \frac{1}{\pi }\left(r^{1}\right)^{1}\times \frac{1}{r^{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring.

$$1^{1}\times \frac{1}{\pi }r^{1}r^{2\left(-1\right)}$$

2 ni -1 marotabaga ko'paytirish.

$$1^{1}\times \frac{1}{\pi }r^{1}r^{-2}$$

Ayni daraja ko'rsatkichlarini ko'paytirish uchun ularning darajalarini qo'shing.

$$1^{1}\times \frac{1}{\pi }r^{1-2}$$

1 va -2 belgilarini qo'shish.

$$1^{1}\times \frac{1}{\pi }\times \frac{1}{r}$$

\pi ni -1 daraja ko'rsatgichiga oshirish.

$$\frac{1}{\pi }\times \frac{1}{r}$$

r ga nisbatan hosilani topish

$$-\frac{1}{\pi r^{2}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{1}{\pi }r^{1-2})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{1}{\pi }\times \frac{1}{r})$$

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

$$-\frac{1}{\pi }r^{-1-1}$$

Arifmetik hisobni amalga oshirish.

$$\left(-\frac{1}{\pi }\right)r^{-2}$$