6000t*e^-05t eching

$$6000 t \cdot e ^ { - 05 t }$$

Baholash

$$6000t$$

Yechim qadamlari

0 hosil qilish uchun 0 va 5 ni ko'paytirish.

$$6000te^{0t}$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$6000te^{0}$$

0 daraja ko‘rsatkichini e ga hisoblang va 1 ni qiymatni oling.

$$6000t\times 1$$

6000 hosil qilish uchun 6000 va 1 ni ko'paytirish.

$$6000t$$

t ga nisbatan hosilani topish

$$6000$$

Derivativ ifodasidan foydalanish qadamlari

0 hosil qilish uchun 0 va 5 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}t}(6000te^{0t})$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$\frac{\mathrm{d}}{\mathrm{d}t}(6000te^{0})$$

0 daraja ko‘rsatkichini e ga hisoblang va 1 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}t}(6000t\times 1)$$

6000 hosil qilish uchun 6000 va 1 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}t}(6000t)$$

ax^{n} hosilasi – nax^{n-1}.

$$6000t^{1-1}$$

1 dan 1 ni ayirish.

$$6000t^{0}$$

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

$$6000\times 1$$

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

$$6000$$