Riješi -667*10^-1118x*x/15*10^8

$$-667 \times { 10 }^{ -11 } \frac{ 18x \times x }{ 15 \times { 10 }^{ 8 } }$$

Izračunaj

$$-\frac{2001x^{2}}{25000000000000000000}$$

Koraci rješenja

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

$$-667\times 10^{-11}\times \frac{18x^{2}}{15\times 10^{8}}$$

Izračunajte koliko je -11 na 10 da biste dobili \frac{1}{100000000000}.

$$-667\times \frac{1}{100000000000}\times \frac{18x^{2}}{15\times 10^{8}}$$

Pomnožite -667 i \frac{1}{100000000000} da biste dobili -\frac{667}{100000000000}.

$$-\frac{667}{100000000000}\times \frac{18x^{2}}{15\times 10^{8}}$$

Skratite 3 u brojniku i nazivniku.

$$-\frac{667}{100000000000}\times \frac{6x^{2}}{5\times 10^{8}}$$

Izračunajte koliko je 8 na 10 da biste dobili 100000000.

$$-\frac{667}{100000000000}\times \frac{6x^{2}}{5\times 100000000}$$

Pomnožite 5 i 100000000 da biste dobili 500000000.

$$-\frac{667}{100000000000}\times \frac{6x^{2}}{500000000}$$

Podijelite 6x^{2} s 500000000 da biste dobili \frac{3}{250000000}x^{2}.

$$-\frac{667}{100000000000}\times \frac{3}{250000000}x^{2}$$

Pomnožite -\frac{667}{100000000000} i \frac{3}{250000000} da biste dobili -\frac{2001}{25000000000000000000}.

$$-\frac{2001}{25000000000000000000}x^{2}$$

Diferenciraj u odnosu na x

$$-\frac{2001x}{12500000000000000000}$$

Koraci korištenja definicije derivacije

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(-667\times 10^{-11}\times \frac{18x^{2}}{15\times 10^{8}})$$

Izračunajte koliko je -11 na 10 da biste dobili \frac{1}{100000000000}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-667\times \frac{1}{100000000000}\times \frac{18x^{2}}{15\times 10^{8}})$$

Pomnožite -667 i \frac{1}{100000000000} da biste dobili -\frac{667}{100000000000}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{667}{100000000000}\times \frac{18x^{2}}{15\times 10^{8}})$$

Skratite 3 u brojniku i nazivniku.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{667}{100000000000}\times \frac{6x^{2}}{5\times 10^{8}})$$

Izračunajte koliko je 8 na 10 da biste dobili 100000000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{667}{100000000000}\times \frac{6x^{2}}{5\times 100000000})$$

Pomnožite 5 i 100000000 da biste dobili 500000000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{667}{100000000000}\times \frac{6x^{2}}{500000000})$$

Podijelite 6x^{2} s 500000000 da biste dobili \frac{3}{250000000}x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{667}{100000000000}\times \frac{3}{250000000}x^{2})$$

Pomnožite -\frac{667}{100000000000} i \frac{3}{250000000} da biste dobili -\frac{2001}{25000000000000000000}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{2001}{25000000000000000000}x^{2})$$

Derivacija ax^{n} nax^{n-1}.

$$2\left(-\frac{2001}{25000000000000000000}\right)x^{2-1}$$

Pomnožite 2 i -\frac{2001}{25000000000000000000}.

$$-\frac{2001}{12500000000000000000}x^{2-1}$$

Oduzmite 1 od 2.

$$-\frac{2001}{12500000000000000000}x^{1}$$

Za svaki izraz t, t^{1}=t.

$$-\frac{2001}{12500000000000000000}x$$