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5.3 Interpretation of the Sign of Derivative

We will now cover the meaning of the sign of the derivative and see what inference can be drawn from it and also study its applications to some practical problems from onwards. We will assume that the functions that we consider are continuous and differentiable at all points and all intervals in questions unless otherwise stated. Further the numbers, denoted by h or D, will always be taken as positive.


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Index

5.1 Tangent And Normal Lines
5.2 Angle Between Two Curves
5.3 Interpretation Of The Sign Of The Derivative
5.4 Locality Increasing Or Decreasing Functions 5.5 Critical Points
5.6 Turning Points
5.7 Extreme Value Theorem
5.8 The Mean-value Theorem
5.9 First Derivative Test For Local Extrema
5.10 Second Derivative Test For Local Extrema
5.11 Stationary Points
5.12 Concavity And Points Of Inflection
5.13 Rate Measure (distance, Velocity And Acceleration)
5.14 Related Rates
5.15 Differentials : Errors And Approximation

Chapter 6





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