a/a^2-4/frac{a^2{a+2}}= eching

$$\frac { \frac { a } { a ^ { 2 } - 4 } } { \frac { a ^ { 2 } } { a + 2 } } =$$

Baholash

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

Qisqa yechim qadamlari

\frac{a}{a^{2}-4} ni \frac{a^{2}}{a+2} ga bo'lish \frac{a}{a^{2}-4} ga k'paytirish \frac{a^{2}}{a+2} ga qaytarish.

$$\frac{a\left(a+2\right)}{\left(a^{2}-4\right)a^{2}}$$

Surat va maxrajdagi ikkala a ni qisqartiring.

$$\frac{a+2}{a\left(a^{2}-4\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{a+2}{a\left(a-2\right)\left(a+2\right)}$$

Surat va maxrajdagi ikkala a+2 ni qisqartiring.

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

Ifodani kengaytiring.

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

a ga nisbatan hosilani topish

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

Zanjirli qoidadan foydalanish qadamalari

\frac{a}{a^{2}-4} ni \frac{a^{2}}{a+2} ga bo'lish \frac{a}{a^{2}-4} ga k'paytirish \frac{a^{2}}{a+2} ga qaytarish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a\left(a+2\right)}{\left(a^{2}-4\right)a^{2}})$$

Surat va maxrajdagi ikkala a ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a+2}{a\left(a^{2}-4\right)})$$

\frac{a+2}{a\left(a^{2}-4\right)} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a+2}{a\left(a-2\right)\left(a+2\right)})$$

Surat va maxrajdagi ikkala a+2 ni qisqartiring.

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

a ga a-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

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.

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

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

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

Qisqartirish.

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

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

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

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

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

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

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