4(x/4-5)+20 eching

$$4( \frac{ x }{ 4 } -5)+20$$

Baholash

$$x$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 5 ni \frac{4}{4} marotabaga ko'paytirish.

$$4\left(\frac{x}{4}-\frac{5\times 4}{4}\right)+20$$

\frac{x}{4} va \frac{5\times 4}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$4\times \frac{x-5\times 4}{4}+20$$

x-5\times 4 ichidagi ko‘paytirishlarni bajaring.

$$4\times \frac{x-20}{4}+20$$

4 va 4 ni qisqartiring.

$$x-20+20$$

0 olish uchun -20 va 20'ni qo'shing.

$$x$$

x ga nisbatan hosilani topish

$$1$$

Derivativ ifodasidan foydalanish qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 5 ni \frac{4}{4} marotabaga ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4\left(\frac{x}{4}-\frac{5\times 4}{4}\right)+20)$$

\frac{x}{4} va \frac{5\times 4}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4\times \frac{x-5\times 4}{4}+20)$$

x-5\times 4 ichidagi ko‘paytirishlarni bajaring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4\times \frac{x-20}{4}+20)$$

4 va 4 ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-20+20)$$

0 olish uchun -20 va 20'ni qo'shing.

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

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.

$$1$$