(a-b+b^2/a+b)*a+b/a eching

$$( a - b + \frac { b ^ { 2 } } { a + b } ) \cdot \frac { a + b } { a }$$

Baholash

$$a$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. a-b ni \frac{a+b}{a+b} marotabaga ko'paytirish.

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

\frac{\left(a-b\right)\left(a+b\right)}{a+b} va \frac{b^{2}}{a+b} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

\left(a-b\right)\left(a+b\right)+b^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{a^{2}+ab-ba-b^{2}+b^{2}}{a+b}\times \frac{a+b}{a}$$

a^{2}+ab-ba-b^{2}+b^{2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{a^{2}}{a+b}\times \frac{a+b}{a}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{a^{2}}{a+b} ni \frac{a+b}{a} ga ko‘paytiring.

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

Surat va maxrajdagi ikkala a\left(a+b\right) ni qisqartiring.

$$a$$

a ga nisbatan hosilani topish

$$1$$

Derivativ ifodasidan foydalanish qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. a-b ni \frac{a+b}{a+b} marotabaga ko'paytirish.

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

\frac{\left(a-b\right)\left(a+b\right)}{a+b} va \frac{b^{2}}{a+b} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

\left(a-b\right)\left(a+b\right)+b^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a^{2}+ab-ba-b^{2}+b^{2}}{a+b}\times \frac{a+b}{a})$$

a^{2}+ab-ba-b^{2}+b^{2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a^{2}}{a+b}\times \frac{a+b}{a})$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{a^{2}}{a+b} ni \frac{a+b}{a} ga ko‘paytiring.

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

Surat va maxrajdagi ikkala a\left(a+b\right) ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a)$$

ax^{n} hosilasi – nax^{n-1}.

$$a^{1-1}$$

1 dan 1 ni ayirish.

$$a^{0}$$

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

$$1$$