Issolvi 1/2(t^2/4)

$$\frac { 1 } { 2 } ( \frac { t ^ { 2 } } { 4 } )$$

Evalwa

$$\frac{t^{2}}{8}$$

Passi tas-Soluzzjonijiet

Immultiplika \frac{1}{2} b'\frac{t^{2}}{4} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{t^{2}}{2\times 4}$$

Immultiplika 2 u 4 biex tikseb 8.

$$\frac{t^{2}}{8}$$

Iddifferenzja w.r.t. t

$$\frac{t}{4}$$

Passi għall-Użu ta' Definizzjoni ta' Dervattiv

Immultiplika \frac{1}{2} b'\frac{t^{2}}{4} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\mathrm{d}}{\mathrm{d}t}(\frac{t^{2}}{2\times 4})$$

Immultiplika 2 u 4 biex tikseb 8.

$$\frac{\mathrm{d}}{\mathrm{d}t}(\frac{t^{2}}{8})$$

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

$$2\times \frac{1}{8}t^{2-1}$$

Immultiplika 2 b'\frac{1}{8}.

$$\frac{1}{4}t^{2-1}$$

Naqqas 1 minn 2.

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

Għal kwalunkwe terminu t, t^{1}=t.

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