What does “Critical points” actually mean in Application of Derivatives, and why does it matter for JEE?
at a maximum or minimum of a smooth function the derivative is zero (the tangent is flat).
In simple words: at a maximum or minimum of a smooth function the derivative is zero (the tangent is flat). Getting Critical points clear matters because JEE questions on Application of Derivatives usually test this idea directly, not just a formula you memorised.
Key point
Critical points
Common mistake
thinking every point where f'(x)=0 is a maximum.
Memory tip
f'(x)=0 finds candidates; a further test says max, min or neither.
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