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What is the every-day use of a derivative?
To find the rate of change. Velocity, for example, is the rate of change of distance - in a specified direction. Acceleration is the rate of change of velocity.
What is the rate of change when y equals 1.5x?
The rate of change would be 1.5
What is the rate of change and how is it like the slope of a line?
For a line, the rate of change is the slope of a function.Example:y = 5x + 10The slope is 5. Every time x moves 1"unit", y moves 5 "units".The rate of change would be stated as rise / run. 5 units / 1 unit = 5
What is a rate of change?
"Rate of change" means how quickly something changes. Examples in physics include a speed as a rate of change of position - if your position changes 10 meters every second, then that (10 meters/second) is your rate of change of position, or your velocity. Or if your income increases by a thousand dollars a year, then that's the rate of change of your income - how quickly your income changes.
When would you use rate of change in real life?
Some examples: Your velocity is the rate of change of distance (even if you don't think of it in that way). Your acceleration is the rate of change of velocity. Your pay rise is the rate of change of your pay (per year).
