++1/t/t-frac{2{t}} eching

$$\frac { + + \frac { 1 } { t } } { t - \frac { 2 } { t } }$$

Baholash

$$\frac{1}{t^{2}-2}$$

Qisqa yechim qadamlari

\frac{\frac{1}{t}}{t-\frac{2}{t}} ni yagona kasrga aylantiring.

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

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. t ni \frac{t}{t} marotabaga ko'paytirish.

$$\frac{1}{t\left(\frac{tt}{t}-\frac{2}{t}\right)}$$

\frac{tt}{t} va \frac{2}{t} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{t\times \frac{tt-2}{t}}$$

tt-2 ichidagi ko‘paytirishlarni bajaring.

$$\frac{1}{t\times \frac{t^{2}-2}{t}}$$

t va t ni qisqartiring.

$$\frac{1}{t^{2}-2}$$

t ga nisbatan hosilani topish

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

Zanjirli qoidadan foydalanish qadamalari

\frac{\frac{1}{t}}{t-\frac{2}{t}} ni yagona kasrga aylantiring.

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

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. t ni \frac{t}{t} marotabaga ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}t}(\frac{1}{t\left(\frac{tt}{t}-\frac{2}{t}\right)})$$

\frac{tt}{t} va \frac{2}{t} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\mathrm{d}}{\mathrm{d}t}(\frac{1}{t\times \frac{tt-2}{t}})$$

tt-2 ichidagi ko‘paytirishlarni bajaring.

$$\frac{\mathrm{d}}{\mathrm{d}t}(\frac{1}{t\times \frac{t^{2}-2}{t}})$$

t va t ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}t}(\frac{1}{t^{2}-2})$$

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.

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

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

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

Qisqartirish.

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

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

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