d/dxleft(1/x^2right) eching

$$\frac{ d }{ dx } \left( \frac{ 1 }{ { x }^{ 2 } } \right)$$

Baholash

$$-\frac{2}{x^{3}}$$

Zanjirli qoidadan foydalanish qadamalari

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.

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

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

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

Qisqartirish.

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

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

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

x ga nisbatan hosilani topish

$$\frac{6}{x^{4}}$$