# Application of Derivatives

Subject: Mathematics Exam: JEE Advanced

Chapter Rating: Do If You Have Time

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Chapter Rating: Do If You Have Time

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## Important Concepts in Application of Derivatives

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

Most Important Concepts (Do or Die)

Most Important Concepts (Do or Die)

- Angle of Intersection of Two Curves

- Increasing Functions
- Decreasing Functions
- Monotonic Functions
- Tangents and Normals
- Critical Points

- Derivative as the Rate of Change
- Motion in a Straight Line
- Maxima and Minima
- 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