Grade 12Differential Calculus
how can we explain 2nd derivative test in real life?
how can we explain 2nd derivative test in real life?
1 Answer
Deepak Kumar Shringi
A derivative is a rate of change. A second derivative is a rate of change of a rate of change. This is why the first derivative of position is velocity - velocity is the rate of change of position. The second derivative is acceleration, the rate of change of the rate of change (how velocity is changing). There's even a third derivative called jerkwhich measures the rate of change of acceleration.
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