Application of Derivatives


 

Application of Derivatives logoSubject: Mathematics    Exam: JEE Main

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Important Concepts in Application of Derivatives

Find notes, videos, important points and questions to practice on each of these concepts.

Important Concepts (Should Do)
  • Derivative as the Rate of Change

  • Motion in a Straight Line

  • Increasing Functions

  • Decreasing Functions

  • Monotonic Functions

  • Tangents and Normals

  • Angle of Intersection of Two Curves

  • Critical Points

  • Maxima and Minima

Not So Important Concepts (Do if you have time)
  • Rolle's Theorem

  • Lagrange's Mean Value Theorem



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Important Points




Second Derivative Test: Let f be twice differentiable, and let c be a root of the equation f'(x) = 0. Then
a) c is a local maximum point if f''(c) < 0
b) c is a local minimum point if f''(c) > 0

 
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