# Math Help - Differentials

1. ## Differentials

Another practice midterm problem I'm confused about...can someone help?

Someone traveling on a highway at a constant speed of 100+-2 km/hr for 50+- 1 seconds. Use differentials to estimate the uncertainty of your distance travelled in that 50 seconds.

2. $d=vt$, so $d\pm\Delta d=(v\pm\Delta v)(t\pm\Delta t)=vt\pm t\Delta v\pm v\Delta t \pm\Delta v\Delta t$ Therefore, $\Delta d=|t\Delta v|+|v\Delta t|+|\Delta v\Delta t|$