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The first derivative is the rate of change, and the second derivative is the rate of change of the rate of change.
the steepness of the line is the slope of the line which is the rate of change; the steeper the slope, the faster the rate of change
There are 5280 feet in a mile, so to change a distance in miles to feet, multiply it by 5280.
To find rate of change. Two common examples are: rate of change in position = velocity and rate of change of velocity = acceleration.
Rate of change in position is called velocity.