Increasing and Decreasing Functions Calculus - Search Videos

The joke is that in calculus, the first derivative tells you whether a function is increasing or decreasing, while the second derivative tells you whether the first derivative is increasing or decreasing, so a positive second derivative only means the slope is becoming more positive over time, not that the slope is already positive. For example, a function can have a negative first derivative and a positive second derivative at the same time, meaning it’s still decreasing but beginning to turn a

The joke is that in calculus, the first derivative tells you whether a function is increasing or decreasing, while the second derivative tells you whether the first derivative is increasing or decreasing, so a positive second derivative only means the slope is becoming more positive over time, not that the slope is already positive. For example, a function can have a negative first derivative and a positive second derivative at the same time, meaning it’s still decreasing but beginning to turn a

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