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

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

Arvuta

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

Lahenduse etapid

Korrutage x ja x, et leida x^{2}.

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

Arvutage -11 aste 10 ja leidke \frac{1}{100000000000}.

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

Korrutage -667 ja \frac{1}{100000000000}, et leida -\frac{667}{100000000000}.

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

Taandage 3 nii lugejas kui ka nimetajas.

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

Arvutage 8 aste 10 ja leidke 100000000.

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

Korrutage 5 ja 100000000, et leida 500000000.

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

Jagage 6x^{2} väärtusega 500000000, et leida \frac{3}{250000000}x^{2}.

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

Korrutage -\frac{667}{100000000000} ja \frac{3}{250000000}, et leida -\frac{2001}{25000000000000000000}.

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

Diferentseeri x-i järgi

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

Juhised tuletise definitsiooni kasutamisel

Korrutage x ja x, et leida x^{2}.

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

Arvutage -11 aste 10 ja leidke \frac{1}{100000000000}.

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

Korrutage -667 ja \frac{1}{100000000000}, et leida -\frac{667}{100000000000}.

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

Taandage 3 nii lugejas kui ka nimetajas.

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

Arvutage 8 aste 10 ja leidke 100000000.

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

Korrutage 5 ja 100000000, et leida 500000000.

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

Jagage 6x^{2} väärtusega 500000000, et leida \frac{3}{250000000}x^{2}.

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

Korrutage -\frac{667}{100000000000} ja \frac{3}{250000000}, et leida -\frac{2001}{25000000000000000000}.

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

ax^{n} tuletis on nax^{n-1}.

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

Korrutage omavahel 2 ja -\frac{2001}{25000000000000000000}.

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

Lahutage 1 väärtusest 2.

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

Mis tahes liikme t korral on t^{1}=t.

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