# Application of Derivatives

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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)

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

- 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