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QuestionOther Subjects
What is meant by increasing at a "decreasing rate" or an "increasing rate"?
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Step 1I'll explain the concept of increasing at a "decreasing rate" or an "increasing rate" in a clear, step-by-step manner:
Step 2: Understanding Rate of Change
The phrase "rate of change" refers to how quickly a quantity is changing over time. In mathematical terms, this is typically represented by the first derivative of a function.
Final Answer
- "Increasing at an increasing rate" means both the function and its rate of change are increasing - "Increasing at a decreasing rate" means the function is still increasing, but the rate of increase is slowing down
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