Atrisiniet -667*10^-1118x*x/15*10^8

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

Izrēķināt

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

Atrisinājuma darbības

Reiziniet x un x, lai iegūtu x^{2}.

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

Aprēķiniet 10 pakāpē -11 un iegūstiet \frac{1}{100000000000}.

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

Reiziniet -667 un \frac{1}{100000000000}, lai iegūtu -\frac{667}{100000000000}.

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

Saīsiniet 3 gan skaitītājā, gan saucējā.

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

Aprēķiniet 10 pakāpē 8 un iegūstiet 100000000.

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

Reiziniet 5 un 100000000, lai iegūtu 500000000.

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

Daliet 6x^{2} ar 500000000, lai iegūtu \frac{3}{250000000}x^{2}.

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

Reiziniet -\frac{667}{100000000000} un \frac{3}{250000000}, lai iegūtu -\frac{2001}{25000000000000000000}.

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

Diferencēt pēc x

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

Darbības, izmantojot atvasinājuma definīciju

Reiziniet x un x, lai iegūtu x^{2}.

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

Aprēķiniet 10 pakāpē -11 un iegūstiet \frac{1}{100000000000}.

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

Reiziniet -667 un \frac{1}{100000000000}, lai iegūtu -\frac{667}{100000000000}.

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

Saīsiniet 3 gan skaitītājā, gan saucējā.

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

Aprēķiniet 10 pakāpē 8 un iegūstiet 100000000.

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

Reiziniet 5 un 100000000, lai iegūtu 500000000.

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

Daliet 6x^{2} ar 500000000, lai iegūtu \frac{3}{250000000}x^{2}.

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

Reiziniet -\frac{667}{100000000000} un \frac{3}{250000000}, lai iegūtu -\frac{2001}{25000000000000000000}.

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

ax^{n} atvasinājums ir nax^{n-1}.

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

Reiziniet 2 reiz -\frac{2001}{25000000000000000000}.

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

Atņemiet 1 no 2.

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

Jebkuram loceklim t t^{1}=t.

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