f(0)+f(1)+f(2)+f(3) eching

$$f ( 0 ) + f ( 1 ) + f ( 2 ) + f ( 3 )$$

Baholash

$$6f$$

Yechim qadamlari

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$0+f\times 1+f\times 2+f\times 3$$

3f ni olish uchun f\times 1 va f\times 2 ni birlashtirish.

$$0+3f+f\times 3$$

6f ni olish uchun 3f va f\times 3 ni birlashtirish.

$$0+6f$$

Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$6f$$

f ga nisbatan hosilani topish

$$6$$

Derivativ ifodasidan foydalanish qadamlari

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$\frac{\mathrm{d}}{\mathrm{d}f}(0+f\times 1+f\times 2+f\times 3)$$

3f ni olish uchun f\times 1 va f\times 2 ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}f}(0+3f+f\times 3)$$

6f ni olish uchun 3f va f\times 3 ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}f}(0+6f)$$

Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$\frac{\mathrm{d}}{\mathrm{d}f}(6f)$$

ax^{n} hosilasi – nax^{n-1}.

$$6f^{1-1}$$

1 dan 1 ni ayirish.

$$6f^{0}$$

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

$$6\times 1$$

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

$$6$$