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3 cards from this section. Quick, good the night before a test.
Define the term 'derivative'.
Think about how we measure speed or incline!
What does the slope of the tangent line to a curve represent?
What do we use slopes for in graphs?
What is the derivative of a constant function?
Think about how a flat line behaves.
True or False: The derivative can represent the acceleration of an object.
Consider the relationship between distance, velocity, and acceleration.
A car's distance from a starting point is given by the function s(t) = 4t^2 - t^3. Find the maximum speed the car achieves in the interval 0 <= t <= 4.
Look for points where speed changes.
The profit function for a company is given by P(x) = -2x^2 + 12x + 5. Determine the number of units sold that maximizes profit.
What happens at the maximum profit point?
5 more questions in this section. Enroll free to practise them all.
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