10^-6*3^-7*625*t^-4 eching

$$10 ^ { - 6 } \times 3 ^ { - 7 } \times 625 \times t ^ { - 4 }$$

Baholash

$$\frac{1}{3499200t^{4}}$$

Yechim qadamlari

-6 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{1000000} ni qiymatni oling.

$$\frac{1}{1000000}\times 3^{-7}\times 625t^{-4}$$

-7 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{2187} ni qiymatni oling.

$$\frac{1}{1000000}\times \frac{1}{2187}\times 625t^{-4}$$

\frac{1}{2187000000} hosil qilish uchun \frac{1}{1000000} va \frac{1}{2187} ni ko'paytirish.

$$\frac{1}{2187000000}\times 625t^{-4}$$

\frac{1}{3499200} hosil qilish uchun \frac{1}{2187000000} va 625 ni ko'paytirish.

$$\frac{1}{3499200}t^{-4}$$

t ga nisbatan hosilani topish

$$-\frac{1}{874800t^{5}}$$

Derivativ ifodasidan foydalanish qadamlari

-6 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{1000000} ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}t}(\frac{1}{1000000}\times 3^{-7}\times 625t^{-4})$$

-7 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{2187} ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}t}(\frac{1}{1000000}\times \frac{1}{2187}\times 625t^{-4})$$

\frac{1}{2187000000} hosil qilish uchun \frac{1}{1000000} va \frac{1}{2187} ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}t}(\frac{1}{2187000000}\times 625t^{-4})$$

\frac{1}{3499200} hosil qilish uchun \frac{1}{2187000000} va 625 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}t}(\frac{1}{3499200}t^{-4})$$

ax^{n} hosilasi – nax^{n-1}.

$$-4\times \frac{1}{3499200}t^{-4-1}$$

-4 ni \frac{1}{3499200} marotabaga ko'paytirish.

$$-\frac{1}{874800}t^{-4-1}$$

-4 dan 1 ni ayirish.

$$-\frac{1}{874800}t^{-5}$$