b^85/b^31*b^90 eching

$$\frac { b ^ { 85 } } { b ^ { 31 } \cdot b ^ { 90 } }$$

Baholash

$$\frac{1}{b^{36}}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 31 va 90 ni qo‘shib, 121 ni oling.

$$\frac{b^{85}}{b^{121}}$$

b^{121} ni b^{85}b^{36} sifatida qaytadan yozish. Surat va maxrajdagi ikkala b^{85} ni qisqartiring.

$$\frac{1}{b^{36}}$$

b ga nisbatan hosilani topish

$$-\frac{36}{b^{37}}$$

Zanjirli qoidadan foydalanish qadamalari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 31 va 90 ni qo‘shib, 121 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{b^{85}}{b^{121}})$$

b^{121} ni b^{85}b^{36} sifatida qaytadan yozish. Surat va maxrajdagi ikkala b^{85} ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{1}{b^{36}})$$

Agar F ikki differensial funksiya f\left(u\right) va u=g\left(x\right)'ning yig'indisi bo'lsa, ya'ni agar F\left(x\right)=f\left(g\left(x\right)\right) bo'lsa, F hosilasi f'ning u martalik hosilasi, g'ning x martalik hosilasi ya'ni \frac{\mathrm{d}}{\mathrm{d}x}(F)\left(x\right)=\frac{\mathrm{d}}{\mathrm{d}x}(f)\left(g\left(x\right)\right)\frac{\mathrm{d}}{\mathrm{d}x}(g)\left(x\right) bo'ladi.

$$-\left(b^{36}\right)^{-1-1}\frac{\mathrm{d}}{\mathrm{d}b}(b^{36})$$

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

$$-\left(b^{36}\right)^{-2}\times 36b^{36-1}$$

Qisqartirish.

$$-36b^{35}\left(b^{36}\right)^{-2}$$