x^2+x/2-left(x-1right)^2+(x-1)/2 eching

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

Baholash

$$x$$

Qisqa yechim qadamlari

\frac{x^{2}+x}{2} va \frac{\left(x-1\right)^{2}+x-1}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

x^{2}+x-\left(\left(x-1\right)^{2}+x-1\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{x^{2}+x-x^{2}+2x-1-x+1}{2}$$

x^{2}+x-x^{2}+2x-1-x+1 kabi iboralarga o‘xshab birlashtiring.

$$\frac{2x}{2}$$

2 va 2 ni qisqartiring.

$$x$$

x ga nisbatan hosilani topish

$$1$$

Derivativ ifodasidan foydalanish qadamlari

\frac{x^{2}+x}{2} va \frac{\left(x-1\right)^{2}+x-1}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

x^{2}+x-\left(\left(x-1\right)^{2}+x-1\right) ichidagi ko‘paytirishlarni bajaring.

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

x^{2}+x-x^{2}+2x-1-x+1 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2x}{2})$$

2 va 2 ni qisqartiring.

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

ax^{n} hosilasi – nax^{n-1}.

$$x^{1-1}$$

1 dan 1 ni ayirish.

$$x^{0}$$

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

$$1$$