(1/1-x)^prime eching

$$( \frac { 1 } { 1 - x } ) ^ { \prime }$$

Baholash

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

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.

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

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

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

Qisqartirish.

$$x^{0}\left(-x^{1}+1\right)^{-2}$$

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

$$x^{0}\left(-x+1\right)^{-2}$$

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

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

Har qanday t sharti uchun t\times 1=t va 1t=t.

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

x ga nisbatan hosilani topish

$$\frac{2}{\left(1-x\right)^{3}}$$