Lutasin ang 2*6,67*10^-11*3km/300000km/h

$$\frac { 2 \cdot 6,67 \cdot 10 ^ { - 11 } \cdot 3 k m } { 300000 k m / h }$$

I-evaluate

$$\frac{667h}{500000000000000000}$$

Mga Hakbang ng Solution

I-multiply ang 2 at 6.67 para makuha ang 13.34.

$$\frac{13.34\times 10^{-11}\times 3km}{\frac{300000km}{h}}$$

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

$$\frac{13.34\times \frac{1}{100000000000}\times 3km}{\frac{300000km}{h}}$$

I-multiply ang 13.34 at \frac{1}{100000000000} para makuha ang \frac{667}{5000000000000}.

$$\frac{\frac{667}{5000000000000}\times 3km}{\frac{300000km}{h}}$$

I-multiply ang \frac{667}{5000000000000} at 3 para makuha ang \frac{2001}{5000000000000}.

$$\frac{\frac{2001}{5000000000000}km}{\frac{300000km}{h}}$$

I-divide ang \frac{2001}{5000000000000}km gamit ang \frac{300000km}{h} sa pamamagitan ng pagmu-multiply sa \frac{2001}{5000000000000}km gamit ang reciprocal ng \frac{300000km}{h}.

$$\frac{\frac{2001}{5000000000000}kmh}{300000km}$$

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

$$\frac{\frac{2001}{5000000000000}h}{300000}$$

I-divide ang \frac{2001}{5000000000000}h gamit ang 300000 para makuha ang \frac{667}{500000000000000000}h.

$$\frac{667}{500000000000000000}h$$

I-differentiate ang w.r.t. h

$$0.000000000000001334$$

Mga Hakbang sa Paggamit ng Definition of a Derivative

I-multiply ang 2 at 6.67 para makuha ang 13.34.

$$\frac{\mathrm{d}}{\mathrm{d}h}(\frac{13.34\times 10^{-11}\times 3km}{\frac{300000km}{h}})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}h}(\frac{13.34\times \frac{1}{100000000000}\times 3km}{\frac{300000km}{h}})$$

I-multiply ang 13.34 at \frac{1}{100000000000} para makuha ang \frac{667}{5000000000000}.

$$\frac{\mathrm{d}}{\mathrm{d}h}(\frac{\frac{667}{5000000000000}\times 3km}{\frac{300000km}{h}})$$

I-multiply ang \frac{667}{5000000000000} at 3 para makuha ang \frac{2001}{5000000000000}.

$$\frac{\mathrm{d}}{\mathrm{d}h}(\frac{\frac{2001}{5000000000000}km}{\frac{300000km}{h}})$$

I-divide ang \frac{2001}{5000000000000}km gamit ang \frac{300000km}{h} sa pamamagitan ng pagmu-multiply sa \frac{2001}{5000000000000}km gamit ang reciprocal ng \frac{300000km}{h}.

$$\frac{\mathrm{d}}{\mathrm{d}h}(\frac{\frac{2001}{5000000000000}kmh}{300000km})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}h}(\frac{\frac{2001}{5000000000000}h}{300000})$$

I-divide ang \frac{2001}{5000000000000}h gamit ang 300000 para makuha ang \frac{667}{500000000000000000}h.

$$\frac{\mathrm{d}}{\mathrm{d}h}(\frac{667}{500000000000000000}h)$$

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

$$\frac{667}{500000000000000000}h^{1-1}$$

I-subtract ang 1 mula sa 1.

$$\frac{667}{500000000000000000}h^{0}$$

Para sa anumang term na t maliban sa 0, t^{0}=1.

$$\frac{667}{500000000000000000}\times 1$$

Para sa anumang term na t, t\times 1=t at 1t=t.

$$\frac{667}{500000000000000000}$$