Issolvi n(360/365.2422*78)

$$n ( \frac { 360 } { 365.2422 } \times 78 )$$

Evalwa

$$\frac{46800000n}{608737}$$

Passi tas-Soluzzjonijiet

Espandi \frac{360}{365.2422} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10000.

$$n\times \frac{3600000}{3652422}\times 78$$

Naqqas il-frazzjoni \frac{3600000}{3652422} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 6.

$$n\times \frac{600000}{608737}\times 78$$

Esprimi \frac{600000}{608737}\times 78 bħala frazzjoni waħda.

$$n\times \frac{600000\times 78}{608737}$$

Immultiplika 600000 u 78 biex tikseb 46800000.

$$n\times \frac{46800000}{608737}$$

Iddifferenzja w.r.t. n

$$\frac{46800000}{608737} = 76\frac{535988}{608737} = 76.88049190372854$$

Passi għall-Użu ta' Definizzjoni ta' Dervattiv

Espandi \frac{360}{365.2422} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10000.

$$\frac{\mathrm{d}}{\mathrm{d}n}(n\times \frac{3600000}{3652422}\times 78)$$

Naqqas il-frazzjoni \frac{3600000}{3652422} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 6.

$$\frac{\mathrm{d}}{\mathrm{d}n}(n\times \frac{600000}{608737}\times 78)$$

Esprimi \frac{600000}{608737}\times 78 bħala frazzjoni waħda.

$$\frac{\mathrm{d}}{\mathrm{d}n}(n\times \frac{600000\times 78}{608737})$$

Immultiplika 600000 u 78 biex tikseb 46800000.

$$\frac{\mathrm{d}}{\mathrm{d}n}(n\times \frac{46800000}{608737})$$

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

$$\frac{46800000}{608737}n^{1-1}$$

Naqqas 1 minn 1.

$$\frac{46800000}{608737}n^{0}$$

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

$$\frac{46800000}{608737}\times 1$$

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

$$\frac{46800000}{608737}$$