30t^{3}+(-5t^3)+9t^3-17t^3-(-8t^3) eching

$$30 t ^ { 3 } + ( - 5 t ^ { 3 } ) + 9 t ^ { 3 } - 17 t ^ { 3 } - ( - 8 t ^ { 3 } )$$

Baholash

$$25t^{3}$$

Yechim qadamlari

25t^{3} ni olish uchun 30t^{3} va -5t^{3} ni birlashtirish.

$$25t^{3}+9t^{3}-17t^{3}-\left(-8t^{3}\right)$$

34t^{3} ni olish uchun 25t^{3} va 9t^{3} ni birlashtirish.

$$34t^{3}-17t^{3}-\left(-8t^{3}\right)$$

17t^{3} ni olish uchun 34t^{3} va -17t^{3} ni birlashtirish.

$$17t^{3}-\left(-8t^{3}\right)$$

-8t^{3} ning teskarisi 8t^{3} ga teng.

$$17t^{3}+8t^{3}$$

25t^{3} ni olish uchun 17t^{3} va 8t^{3} ni birlashtirish.

$$25t^{3}$$

t ga nisbatan hosilani topish

$$75t^{2}$$

Derivativ ifodasidan foydalanish qadamlari

25t^{3} ni olish uchun 30t^{3} va -5t^{3} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}t}(25t^{3}+9t^{3}-17t^{3}-\left(-8t^{3}\right))$$

34t^{3} ni olish uchun 25t^{3} va 9t^{3} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}t}(34t^{3}-17t^{3}-\left(-8t^{3}\right))$$

17t^{3} ni olish uchun 34t^{3} va -17t^{3} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}t}(17t^{3}-\left(-8t^{3}\right))$$

-8t^{3} ning teskarisi 8t^{3} ga teng.

$$\frac{\mathrm{d}}{\mathrm{d}t}(17t^{3}+8t^{3})$$

25t^{3} ni olish uchun 17t^{3} va 8t^{3} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}t}(25t^{3})$$

ax^{n} hosilasi – nax^{n-1}.

$$3\times 25t^{3-1}$$

3 ni 25 marotabaga ko'paytirish.

$$75t^{3-1}$$

3 dan 1 ni ayirish.

$$75t^{2}$$