Issolvi 10ydiv5^2+26ydiv40

$$10 y \div 5 ^ { 2 } + 26 y \div 40$$

Evalwa

$$\frac{21y}{20}$$

Passi tas-Soluzzjonijiet

Ikkalkula 5 bil-power ta' 2 u tikseb 25.

$$\frac{10y}{25}+\frac{26y}{40}$$

Iddividi 10y b'25 biex tikseb\frac{2}{5}y.

$$\frac{2}{5}y+\frac{26y}{40}$$

Iddividi 26y b'40 biex tikseb\frac{13}{20}y.

$$\frac{2}{5}y+\frac{13}{20}y$$

Ikkombina \frac{2}{5}y u \frac{13}{20}y biex tikseb \frac{21}{20}y.

$$\frac{21}{20}y$$

Iddifferenzja w.r.t. y

$$\frac{21}{20} = 1\frac{1}{20} = 1.05$$

Passi għall-Użu ta' Definizzjoni ta' Dervattiv

Ikkalkula 5 bil-power ta' 2 u tikseb 25.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{10y}{25}+\frac{26y}{40})$$

Iddividi 10y b'25 biex tikseb\frac{2}{5}y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{2}{5}y+\frac{26y}{40})$$

Iddividi 26y b'40 biex tikseb\frac{13}{20}y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{2}{5}y+\frac{13}{20}y)$$

Ikkombina \frac{2}{5}y u \frac{13}{20}y biex tikseb \frac{21}{20}y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{21}{20}y)$$

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

$$\frac{21}{20}y^{1-1}$$

Naqqas 1 minn 1.

$$\frac{21}{20}y^{0}$$

Għal kwalunkwe terminu t ħlief 0, t^{0}=1.

$$\frac{21}{20}\times 1$$

Għal kwalunkwe terminu t, t\times 1=t u 1t=t.

$$\frac{21}{20}$$