Issolvi 4*27*x*4*27*4*27/4*27*4*27-1*4*27

$$\frac { 4 \cdot 27 \cdot x \cdot 4 \cdot 27 \times 4 \cdot 27 } { 4 \cdot 27 \times 4 \cdot 27 - 1 \times 4 \cdot 27 }$$

Evalwa

$$\frac{11664x}{107}$$

Passi tas-Soluzzjonijiet

Immultiplika 4 u 27 biex tikseb 108.

$$\frac{108x\times 4\times 27\times 4\times 27}{4\times 27\times 4\times 27-1\times 4\times 27}$$

Immultiplika 108 u 4 biex tikseb 432.

$$\frac{432x\times 27\times 4\times 27}{4\times 27\times 4\times 27-1\times 4\times 27}$$

Immultiplika 432 u 27 biex tikseb 11664.

$$\frac{11664x\times 4\times 27}{4\times 27\times 4\times 27-1\times 4\times 27}$$

Immultiplika 11664 u 4 biex tikseb 46656.

$$\frac{46656x\times 27}{4\times 27\times 4\times 27-1\times 4\times 27}$$

Immultiplika 46656 u 27 biex tikseb 1259712.

$$\frac{1259712x}{4\times 27\times 4\times 27-1\times 4\times 27}$$

Immultiplika 4 u 27 biex tikseb 108.

$$\frac{1259712x}{108\times 4\times 27-1\times 4\times 27}$$

Immultiplika 108 u 4 biex tikseb 432.

$$\frac{1259712x}{432\times 27-1\times 4\times 27}$$

Immultiplika 432 u 27 biex tikseb 11664.

$$\frac{1259712x}{11664-1\times 4\times 27}$$

Immultiplika 1 u 4 biex tikseb 4.

$$\frac{1259712x}{11664-4\times 27}$$

Immultiplika 4 u 27 biex tikseb 108.

$$\frac{1259712x}{11664-108}$$

Naqqas 108 minn 11664 biex tikseb 11556.

$$\frac{1259712x}{11556}$$

Iddividi 1259712x b'11556 biex tikseb\frac{11664}{107}x.

$$\frac{11664}{107}x$$

Iddifferenzja w.r.t. x

$$\frac{11664}{107} = 109\frac{1}{107} = 109.00934579439253$$

Passi għall-Użu ta' Definizzjoni ta' Dervattiv

Immultiplika 4 u 27 biex tikseb 108.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{108x\times 4\times 27\times 4\times 27}{4\times 27\times 4\times 27-1\times 4\times 27})$$

Immultiplika 108 u 4 biex tikseb 432.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{432x\times 27\times 4\times 27}{4\times 27\times 4\times 27-1\times 4\times 27})$$

Immultiplika 432 u 27 biex tikseb 11664.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{11664x\times 4\times 27}{4\times 27\times 4\times 27-1\times 4\times 27})$$

Immultiplika 11664 u 4 biex tikseb 46656.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{46656x\times 27}{4\times 27\times 4\times 27-1\times 4\times 27})$$

Immultiplika 46656 u 27 biex tikseb 1259712.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1259712x}{4\times 27\times 4\times 27-1\times 4\times 27})$$

Immultiplika 4 u 27 biex tikseb 108.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1259712x}{108\times 4\times 27-1\times 4\times 27})$$

Immultiplika 108 u 4 biex tikseb 432.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1259712x}{432\times 27-1\times 4\times 27})$$

Immultiplika 432 u 27 biex tikseb 11664.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1259712x}{11664-1\times 4\times 27})$$

Immultiplika 1 u 4 biex tikseb 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1259712x}{11664-4\times 27})$$

Immultiplika 4 u 27 biex tikseb 108.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1259712x}{11664-108})$$

Naqqas 108 minn 11664 biex tikseb 11556.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1259712x}{11556})$$

Iddividi 1259712x b'11556 biex tikseb\frac{11664}{107}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{11664}{107}x)$$

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

$$\frac{11664}{107}x^{1-1}$$

Naqqas 1 minn 1.

$$\frac{11664}{107}x^{0}$$

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

$$\frac{11664}{107}\times 1$$

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

$$\frac{11664}{107}$$