a/a^297*a^138 eching

$$\frac { a } { a ^ { 297 } \times a ^ { 138 } }$$

Baholash

$$\frac{1}{a^{434}}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 297 va 138 ni qo‘shib, 435 ni oling.

$$\frac{a}{a^{435}}$$

a^{435} ni aa^{434} sifatida qaytadan yozish. Surat va maxrajdagi ikkala a ni qisqartiring.

$$\frac{1}{a^{434}}$$

a ga nisbatan hosilani topish

$$-\frac{434}{a^{435}}$$

Zanjirli qoidadan foydalanish qadamalari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 297 va 138 ni qo‘shib, 435 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a}{a^{435}})$$

a^{435} ni aa^{434} sifatida qaytadan yozish. Surat va maxrajdagi ikkala a ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{1}{a^{434}})$$

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.

$$-\left(a^{434}\right)^{-1-1}\frac{\mathrm{d}}{\mathrm{d}a}(a^{434})$$

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

$$-\left(a^{434}\right)^{-2}\times 434a^{434-1}$$

Qisqartirish.

$$-434a^{433}\left(a^{434}\right)^{-2}$$