x/204/3a^2x= eching

$$\frac { x } { 20 } \frac { 4 } { 3 a ^ { 2 } x } =$$

Baholash

$$\frac{1}{15a^{2}}$$

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{x}{20} ni \frac{4}{3a^{2}x} ga ko‘paytiring.

$$\frac{x\times 4}{20\times 3a^{2}x}$$

Surat va maxrajdagi ikkala 4x ni qisqartiring.

$$\frac{1}{3\times 5a^{2}}$$

15 hosil qilish uchun 3 va 5 ni ko'paytirish.

$$\frac{1}{15a^{2}}$$

a ga nisbatan hosilani topish

$$-\frac{2}{15a^{3}}$$

Zanjirli qoidadan foydalanish qadamalari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{x}{20} ni \frac{4}{3a^{2}x} ga ko‘paytiring.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{x\times 4}{20\times 3a^{2}x})$$

Surat va maxrajdagi ikkala 4x ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{1}{3\times 5a^{2}})$$

15 hosil qilish uchun 3 va 5 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{1}{15a^{2}})$$

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.

$$-\left(15a^{2}\right)^{-1-1}\frac{\mathrm{d}}{\mathrm{d}a}(15a^{2})$$

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

$$-\left(15a^{2}\right)^{-2}\times 2\times 15a^{2-1}$$

Qisqartirish.

$$-30a^{1}\times \left(15a^{2}\right)^{-2}$$

Har qanday t sharti uchun t^{1}=t.

$$-30a\times \left(15a^{2}\right)^{-2}$$