(1/20)/(400-x^2) eching

$$( 1 / 20 ) / ( 400 - x ^ { 2 } )$$

Baholash

$$\frac{1}{20\left(400-x^{2}\right)}$$

Yechim qadamlari

\frac{\frac{1}{20}}{400-x^{2}} ni yagona kasrga aylantiring.

$$\frac{1}{20\left(400-x^{2}\right)}$$

20 ga 400-x^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{8000-20x^{2}}$$

x ga nisbatan hosilani topish

$$\frac{x}{10\left(400-x^{2}\right)^{2}}$$

Zanjirli qoidadan foydalanish qadamalari

\frac{\frac{1}{20}}{400-x^{2}} ni yagona kasrga aylantiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{20\left(400-x^{2}\right)})$$

20 ga 400-x^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{8000-20x^{2}})$$

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.

$$-\left(-20x^{2}+8000\right)^{-1-1}\frac{\mathrm{d}}{\mathrm{d}x}(-20x^{2}+8000)$$

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

$$-\left(-20x^{2}+8000\right)^{-2}\times 2\left(-20\right)x^{2-1}$$

Qisqartirish.

$$40x^{1}\left(-20x^{2}+8000\right)^{-2}$$

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

$$40x\left(-20x^{2}+8000\right)^{-2}$$