Issolvi 1*(10/3x)div(5/6x)

$$1 \cdot ( \frac { 10 } { 3 } x ) \div ( \frac { 5 } { 6 x } )$$

Evalwa

$$4x^{2}$$

Passi tas-Soluzzjonijiet

Immultiplika 1 u \frac{10}{3} biex tikseb \frac{10}{3}.

$$\frac{\frac{10}{3}x}{\frac{5}{6x}}$$

Iddividi \frac{10}{3}x b'\frac{5}{6x} billi timmultiplika \frac{10}{3}x bir-reċiproku ta' \frac{5}{6x}.

$$\frac{\frac{10}{3}x\times 6x}{5}$$

Immultiplika x u x biex tikseb x^{2}.

$$\frac{\frac{10}{3}x^{2}\times 6}{5}$$

Esprimi \frac{10}{3}\times 6 bħala frazzjoni waħda.

$$\frac{\frac{10\times 6}{3}x^{2}}{5}$$

Immultiplika 10 u 6 biex tikseb 60.

$$\frac{\frac{60}{3}x^{2}}{5}$$

Iddividi 60 b'3 biex tikseb20.

$$\frac{20x^{2}}{5}$$

Iddividi 20x^{2} b'5 biex tikseb4x^{2}.

$$4x^{2}$$

Iddifferenzja w.r.t. x

$$8x$$

Passi għall-Użu ta' Definizzjoni ta' Dervattiv

Immultiplika 1 u \frac{10}{3} biex tikseb \frac{10}{3}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{10}{3}x}{\frac{5}{6x}})$$

Iddividi \frac{10}{3}x b'\frac{5}{6x} billi timmultiplika \frac{10}{3}x bir-reċiproku ta' \frac{5}{6x}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{10}{3}x\times 6x}{5})$$

Immultiplika x u x biex tikseb x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{10}{3}x^{2}\times 6}{5})$$

Esprimi \frac{10}{3}\times 6 bħala frazzjoni waħda.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{10\times 6}{3}x^{2}}{5})$$

Immultiplika 10 u 6 biex tikseb 60.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{60}{3}x^{2}}{5})$$

Iddividi 60 b'3 biex tikseb20.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{20x^{2}}{5})$$

Iddividi 20x^{2} b'5 biex tikseb4x^{2}.

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

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

$$2\times 4x^{2-1}$$

Immultiplika 2 b'4.

$$8x^{2-1}$$

Naqqas 1 minn 2.

$$8x^{1}$$

Għal kwalunkwe terminu t, t^{1}=t.

$$8x$$