Lutasin ang -667*10^-1118x*x/15*10^8

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

I-evaluate

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

Mga Hakbang ng Solution

I-multiply ang x at x para makuha ang x^{2}.

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

Kalkulahin ang 10 sa power ng -11 at kunin ang \frac{1}{100000000000}.

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

I-multiply ang -667 at \frac{1}{100000000000} para makuha ang -\frac{667}{100000000000}.

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

I-cancel out ang 3 sa parehong numerator at denominator.

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

Kalkulahin ang 10 sa power ng 8 at kunin ang 100000000.

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

I-multiply ang 5 at 100000000 para makuha ang 500000000.

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

I-divide ang 6x^{2} gamit ang 500000000 para makuha ang \frac{3}{250000000}x^{2}.

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

I-multiply ang -\frac{667}{100000000000} at \frac{3}{250000000} para makuha ang -\frac{2001}{25000000000000000000}.

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

I-differentiate ang w.r.t. x

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

Mga Hakbang sa Paggamit ng Definition of a Derivative

I-multiply ang x at x para makuha ang x^{2}.

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

Kalkulahin ang 10 sa power ng -11 at kunin ang \frac{1}{100000000000}.

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

I-multiply ang -667 at \frac{1}{100000000000} para makuha ang -\frac{667}{100000000000}.

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

I-cancel out ang 3 sa parehong numerator at denominator.

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

Kalkulahin ang 10 sa power ng 8 at kunin ang 100000000.

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

I-multiply ang 5 at 100000000 para makuha ang 500000000.

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

I-divide ang 6x^{2} gamit ang 500000000 para makuha ang \frac{3}{250000000}x^{2}.

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

I-multiply ang -\frac{667}{100000000000} at \frac{3}{250000000} para makuha ang -\frac{2001}{25000000000000000000}.

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

Ang derivative ng ax^{n} ay nax^{n-1}.

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

I-multiply ang 2 times -\frac{2001}{25000000000000000000}.

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

I-subtract ang 1 mula sa 2.

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

Para sa anumang term na t, t^{1}=t.

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