In this video of a math course at the university of California at Los Angeles are simply defined the notions of differential and integral calculus, slope and limit. Simply put, the differential calculus is the calculation of the rate of change and the integral calculus defines the accumulation of change. The equation of the derivative of a function tells you how this function changes meaning when it increases and when it decreases. The integral calculus tells how much changes happen. The velocity of a car can be represented by the equation of a derivative. This function derivative tells you when the velocity increases, decreases and when the car comes to a stop. The integral gives the distance traveled by the car in absolute value of course.
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