Riješi x^3*x*x^3/xfrac{1{2}*x*x1/2}*x1/2*x*xfrac{1/2}{x^2*x*x^3}

$$\frac{ { x }^{ 3 } \times x \times { x }^{ 3 } }{ x \frac{ 1 }{ 2 } \times x \times x \frac{ 1 }{ 2 } } \times \frac{ x \frac{ 1 }{ 2 } \times x \times x \frac{ 1 }{ 2 } }{ { x }^{ 2 } \times x \times { x }^{ 3 } }$$

Procijeni

$$x$$

Koraci za rješenje

Da biste pomnožili stepene iste osnove, saberite eksponente. Saberite 3 i 1 da biste dobili 4.

$$\frac{x^{4}x^{3}}{x\times \frac{1}{2}xx\times \frac{1}{2}}\times \frac{x\times \frac{1}{2}xx\times \frac{1}{2}}{x^{2}xx^{3}}$$

Da biste pomnožili stepene iste osnove, saberite eksponente. Saberite 4 i 3 da biste dobili 7.

$$\frac{x^{7}}{x\times \frac{1}{2}xx\times \frac{1}{2}}\times \frac{x\times \frac{1}{2}xx\times \frac{1}{2}}{x^{2}xx^{3}}$$

Pomnožite x i x da biste dobili x^{2}.

$$\frac{x^{7}}{x^{2}\times \frac{1}{2}x\times \frac{1}{2}}\times \frac{x\times \frac{1}{2}xx\times \frac{1}{2}}{x^{2}xx^{3}}$$

Da biste pomnožili stepene iste osnove, saberite eksponente. Saberite 2 i 1 da biste dobili 3.

$$\frac{x^{7}}{x^{3}\times \frac{1}{2}\times \frac{1}{2}}\times \frac{x\times \frac{1}{2}xx\times \frac{1}{2}}{x^{2}xx^{3}}$$

Pomnožite x i x da biste dobili x^{2}.

$$\frac{x^{7}}{x^{3}\times \frac{1}{2}\times \frac{1}{2}}\times \frac{x^{2}\times \frac{1}{2}x\times \frac{1}{2}}{x^{2}xx^{3}}$$

Da biste pomnožili stepene iste osnove, saberite eksponente. Saberite 2 i 1 da biste dobili 3.

$$\frac{x^{7}}{x^{3}\times \frac{1}{2}\times \frac{1}{2}}\times \frac{x^{3}\times \frac{1}{2}\times \frac{1}{2}}{x^{2}xx^{3}}$$

Da biste pomnožili stepene iste osnove, saberite eksponente. Saberite 2 i 1 da biste dobili 3.

$$\frac{x^{7}}{x^{3}\times \frac{1}{2}\times \frac{1}{2}}\times \frac{x^{3}\times \frac{1}{2}\times \frac{1}{2}}{x^{3}x^{3}}$$

Da biste pomnožili stepene iste osnove, saberite eksponente. Saberite 3 i 3 da biste dobili 6.

$$\frac{x^{7}}{x^{3}\times \frac{1}{2}\times \frac{1}{2}}\times \frac{x^{3}\times \frac{1}{2}\times \frac{1}{2}}{x^{6}}$$

Otkaži x^{3} u brojiocu i imeniocu.

$$\frac{x^{4}}{\frac{1}{2}\times \frac{1}{2}}\times \frac{x^{3}\times \frac{1}{2}\times \frac{1}{2}}{x^{6}}$$

Pomnožite \frac{1}{2} i \frac{1}{2} da biste dobili \frac{1}{4}.

$$\frac{x^{4}}{\frac{1}{4}}\times \frac{x^{3}\times \frac{1}{2}\times \frac{1}{2}}{x^{6}}$$

Podijelite x^{4} sa \frac{1}{4} tako što ćete pomnožiti x^{4} recipročnom vrijednošću od \frac{1}{4}.

$$x^{4}\times 4\times \frac{x^{3}\times \frac{1}{2}\times \frac{1}{2}}{x^{6}}$$

Otkaži x^{3} u brojiocu i imeniocu.

$$x^{4}\times 4\times \frac{\frac{1}{2}\times \frac{1}{2}}{x^{3}}$$

Pomnožite \frac{1}{2} i \frac{1}{2} da biste dobili \frac{1}{4}.

$$x^{4}\times 4\times \frac{\frac{1}{4}}{x^{3}}$$

Izrazite \frac{\frac{1}{4}}{x^{3}} kao jedan razlomak.

$$x^{4}\times 4\times \frac{1}{4x^{3}}$$

Izrazite x^{4}\times \frac{1}{4x^{3}} kao jedan razlomak.

$$\frac{x^{4}}{4x^{3}}\times 4$$

Otkaži x^{3} u brojiocu i imeniocu.

$$\frac{x}{4}\times 4$$

Otkaži 4 i 4.

$$x$$

Razlikovanje u pogledu x

$$1$$

Koraci pomoću definicije izvedenog broja

Da biste pomnožili stepene iste osnove, saberite eksponente. Saberite 3 i 1 da biste dobili 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{4}x^{3}}{x\times \frac{1}{2}xx\times \frac{1}{2}}\times \frac{x\times \frac{1}{2}xx\times \frac{1}{2}}{x^{2}xx^{3}})$$

Da biste pomnožili stepene iste osnove, saberite eksponente. Saberite 4 i 3 da biste dobili 7.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{7}}{x\times \frac{1}{2}xx\times \frac{1}{2}}\times \frac{x\times \frac{1}{2}xx\times \frac{1}{2}}{x^{2}xx^{3}})$$

Pomnožite x i x da biste dobili x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{7}}{x^{2}\times \frac{1}{2}x\times \frac{1}{2}}\times \frac{x\times \frac{1}{2}xx\times \frac{1}{2}}{x^{2}xx^{3}})$$

Da biste pomnožili stepene iste osnove, saberite eksponente. Saberite 2 i 1 da biste dobili 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{7}}{x^{3}\times \frac{1}{2}\times \frac{1}{2}}\times \frac{x\times \frac{1}{2}xx\times \frac{1}{2}}{x^{2}xx^{3}})$$

Pomnožite x i x da biste dobili x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{7}}{x^{3}\times \frac{1}{2}\times \frac{1}{2}}\times \frac{x^{2}\times \frac{1}{2}x\times \frac{1}{2}}{x^{2}xx^{3}})$$

Da biste pomnožili stepene iste osnove, saberite eksponente. Saberite 2 i 1 da biste dobili 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{7}}{x^{3}\times \frac{1}{2}\times \frac{1}{2}}\times \frac{x^{3}\times \frac{1}{2}\times \frac{1}{2}}{x^{2}xx^{3}})$$

Da biste pomnožili stepene iste osnove, saberite eksponente. Saberite 2 i 1 da biste dobili 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{7}}{x^{3}\times \frac{1}{2}\times \frac{1}{2}}\times \frac{x^{3}\times \frac{1}{2}\times \frac{1}{2}}{x^{3}x^{3}})$$

Da biste pomnožili stepene iste osnove, saberite eksponente. Saberite 3 i 3 da biste dobili 6.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{7}}{x^{3}\times \frac{1}{2}\times \frac{1}{2}}\times \frac{x^{3}\times \frac{1}{2}\times \frac{1}{2}}{x^{6}})$$

Otkaži x^{3} u brojiocu i imeniocu.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{4}}{\frac{1}{2}\times \frac{1}{2}}\times \frac{x^{3}\times \frac{1}{2}\times \frac{1}{2}}{x^{6}})$$

Pomnožite \frac{1}{2} i \frac{1}{2} da biste dobili \frac{1}{4}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{4}}{\frac{1}{4}}\times \frac{x^{3}\times \frac{1}{2}\times \frac{1}{2}}{x^{6}})$$

Podijelite x^{4} sa \frac{1}{4} tako što ćete pomnožiti x^{4} recipročnom vrijednošću od \frac{1}{4}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}\times 4\times \frac{x^{3}\times \frac{1}{2}\times \frac{1}{2}}{x^{6}})$$

Otkaži x^{3} u brojiocu i imeniocu.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}\times 4\times \frac{\frac{1}{2}\times \frac{1}{2}}{x^{3}})$$

Pomnožite \frac{1}{2} i \frac{1}{2} da biste dobili \frac{1}{4}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}\times 4\times \frac{\frac{1}{4}}{x^{3}})$$

Izrazite \frac{\frac{1}{4}}{x^{3}} kao jedan razlomak.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}\times 4\times \frac{1}{4x^{3}})$$

Izrazite x^{4}\times \frac{1}{4x^{3}} kao jedan razlomak.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{4}}{4x^{3}}\times 4)$$

Otkaži x^{3} u brojiocu i imeniocu.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{4}\times 4)$$

Otkaži 4 i 4.

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

Izvedena vrijednost broja ax^{n} je nax^{n-1}.

$$x^{1-1}$$

Oduzmite 1 od 1.

$$x^{0}$$

Za bilo koji izraz t izuzev 0, t^{0}=1.

$$1$$