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

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

Evalwa

$$25t^{3}$$

Passi tas-Soluzzjonijiet

Ikkombina 30t^{3} u -5t^{3} biex tikseb 25t^{3}.

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

Ikkombina 25t^{3} u 9t^{3} biex tikseb 34t^{3}.

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

Ikkombina 34t^{3} u -17t^{3} biex tikseb 17t^{3}.

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

L-oppost ta' -8t^{3} huwa 8t^{3}.

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

Ikkombina 17t^{3} u 8t^{3} biex tikseb 25t^{3}.

$$25t^{3}$$

Iddifferenzja w.r.t. t

$$75t^{2}$$

Passi għall-Użu ta' Definizzjoni ta' Dervattiv

Ikkombina 30t^{3} u -5t^{3} biex tikseb 25t^{3}.

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

Ikkombina 25t^{3} u 9t^{3} biex tikseb 34t^{3}.

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

Ikkombina 34t^{3} u -17t^{3} biex tikseb 17t^{3}.

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

L-oppost ta' -8t^{3} huwa 8t^{3}.

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

Ikkombina 17t^{3} u 8t^{3} biex tikseb 25t^{3}.

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

Id-derivattiv ta' ax^{n} huwa nax^{n-1}.

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

Immultiplika 3 b'25.

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

Naqqas 1 minn 3.

$$75t^{2}$$