【官方双语】微积分的本质 - 02 - 导数的悖论

微积分本质——导数的悖论

S-t图像

v-t图像

速度需要时间点的对比

velocity：the distance travelled per unit time

dt : the difference in time

the resulting change in the height of the graph

ds: the resulting difference in distance

the velocity at some point in time: ds/dt(t)

dt的值无限接近于0

ds/dt=the slope of a line tangent to the graph at a single point

dt is not "infinitely small", not 0

dt非常接近0