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Change Quote by Steven Strogatz

“Change is most sluggish at the extremes precisely because the derivative is zero there.” quote by Steven Strogatz
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“Change is most sluggish at the extremes precisely because the derivative is zero there.”

Steven Strogatz

About This Quote

Source Paper: The Joy of Calculus, Steven Strogatz, 2016

Change slows at extreme points because the rate of change (derivative) is zero, making movement difficult.

In simple terms: Extremes have zero change rate.

Key Takeaway

Recognize and address stagnation at extremes.

Themes

change extremes dynamics

Mood

analytical thoughtful

Type

scientific philosophical

When to use this quote

  • business strategy
  • personal growth
  • policy reform
  • scientific research

Key Concepts

calculus derivative stagnation

Questions to Reflect On

  • How can you create momentum when progress stalls?
  • What hidden forces sustain extremes?
A Different Perspective

Zero derivative indicates a local optimum, not a permanent state.

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