Under what condition does the differentiable function y = f (x) decrease on the interval (a; b)?
| August 8, 2021 | education
1) If a function is differentiable on some interval, then at each point of this interval, its derivative can be calculated. We will use it to solve the problem.
2) From the physical meaning of the derivative (Velocity) it is clear that the function will decrease over an interval if the derivative at each point of this interval is negative (Velocity is negative).
Answer: if f ‘(x) <0.
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