[3/4*0001t^4-1/3*001t^3-1/203t^2+4t]_0^12 eching

$$[ \frac { 3 } { 4 } \cdot 0001 t ^ { 4 } - \frac { 1 } { 3 } \cdot 001 t ^ { 3 } - \frac { 1 } { 2 } 03 t ^ { 2 } + 4 t ] _ { 0 } ^ { 12 }$$

Baholash

$$4t$$

Yechim qadamlari

0 hosil qilish uchun \frac{3}{4} va 0 ni ko'paytirish.

$$0\times 0\times 0\times 1t^{4}-\frac{1}{3}\times 0\times 0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t$$

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

$$0\times 0\times 1t^{4}-\frac{1}{3}\times 0\times 0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t$$

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

$$0\times 1t^{4}-\frac{1}{3}\times 0\times 0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t$$

0 hosil qilish uchun 0 va 1 ni ko'paytirish.

$$0t^{4}-\frac{1}{3}\times 0\times 0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$0-\frac{1}{3}\times 0\times 0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t$$

0 hosil qilish uchun \frac{1}{3} va 0 ni ko'paytirish.

$$0-0\times 0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t$$

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

$$0-0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t$$

0 hosil qilish uchun 0 va 1 ni ko'paytirish.

$$0-0t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$0-0-\frac{1}{2}\times 0\times 3t^{2}+4t$$

O‘zidan 0 ayirilsa 0 qoladi.

$$0-\frac{1}{2}\times 0\times 3t^{2}+4t$$

0 hosil qilish uchun \frac{1}{2} va 0 ni ko'paytirish.

$$0-0\times 3t^{2}+4t$$

0 hosil qilish uchun 0 va 3 ni ko'paytirish.

$$0-0t^{2}+4t$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$0-0+4t$$

O‘zidan 0 ayirilsa 0 qoladi.

$$0+4t$$

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

$$4t$$

t ga nisbatan hosilani topish

$$4$$

Derivativ ifodasidan foydalanish qadamlari

0 hosil qilish uchun \frac{3}{4} va 0 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0\times 0\times 0\times 1t^{4}-\frac{1}{3}\times 0\times 0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}t}(0\times 0\times 1t^{4}-\frac{1}{3}\times 0\times 0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}t}(0\times 1t^{4}-\frac{1}{3}\times 0\times 0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t)$$

0 hosil qilish uchun 0 va 1 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0t^{4}-\frac{1}{3}\times 0\times 0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t)$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0-\frac{1}{3}\times 0\times 0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t)$$

0 hosil qilish uchun \frac{1}{3} va 0 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0-0\times 0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}t}(0-0\times 1t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t)$$

0 hosil qilish uchun 0 va 1 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0-0t^{3}-\frac{1}{2}\times 0\times 3t^{2}+4t)$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0-0-\frac{1}{2}\times 0\times 3t^{2}+4t)$$

O‘zidan 0 ayirilsa 0 qoladi.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0-\frac{1}{2}\times 0\times 3t^{2}+4t)$$

0 hosil qilish uchun \frac{1}{2} va 0 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0-0\times 3t^{2}+4t)$$

0 hosil qilish uchun 0 va 3 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0-0t^{2}+4t)$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0-0+4t)$$

O‘zidan 0 ayirilsa 0 qoladi.

$$\frac{\mathrm{d}}{\mathrm{d}t}(0+4t)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}t}(4t)$$

ax^{n} hosilasi – nax^{n-1}.

$$4t^{1-1}$$

1 dan 1 ni ayirish.

$$4t^{0}$$

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

$$4\times 1$$

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

$$4$$